problem solving involving elapsed time

20 Elapsed Time Word Problems

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Elapsed time is the amount of time that passes between the beginning and the end of an event. The concept of elapsed time fits nicely in the elementary school curriculum. Beginning in third grade, students should be able to tell and write time to the nearest minute and solve word problems involving addition and subtraction of time. Reinforce these essential skills with the following elapsed time word problems and games.

Elapsed Time Word Problems

These quick and easy elapsed time word problems are perfect for parents and teachers who want to help students practice elapsed time to the nearest minute with simple mental math problems. Answers are listed below.

• Sam and his mom arrive at the doctor’s office at 2:30 p.m. They see the doctor at 3:10 p.m. How long was their wait?
• Dad says dinner will be ready in 35 minutes. It’s 5:30 p.m. now. What time will dinner be ready?
• Becky is meeting her friend at the library at 12:45 p.m. It takes her 25 minutes to get to the library. What time will she need to leave her house to arrive on time?
• Ethan’s birthday party started at 4:30 p.m. The last guest left at 6:32 p.m. How long did Ethan’s party last?
• Kayla put cupcakes in the oven at 3:41 p.m. The directions say that the cupcakes need to bake for 38 minutes. What time will Kayla need to take them out of the oven?
• Dakota arrived at school at 7:59 a.m. He left at 2:33 p.m. How long was Dakota at school?
• Dylan started working on homework at 5:45 p.m. It took him 1 hour and 57 minutes to complete it. What time did Dylan complete his homework?
• Dad arrives home at 4:50 p.m. He left work 40 minutes ago. What time did Dad get off work? 
• Jessica’s family is traveling from Atlanta, Georgia to New York by plane. Their flight leaves at 11:15 a.m. and should take 2 hours and 15 minutes. What time will their plane arrive in New York?
• Jordan got to football practice at 7:05 p.m. Steve showed up 11 minutes later. What time did Steve get to practice?
• Jack ran a marathon in 2 hours and 17 minutes. He crossed the finish line at 10:33 a.m. What time did the race start?
• Marci was babysitting for her cousin. Her cousin was gone for 3 hours and 40 minutes. Marci left at 9:57 p.m. What time did she start babysitting? 
• Caleb and his friends went to see a movie at 7:35 p.m. They left at 10:05 p.m. How long was the movie?
• Francine got to work at 8:10 a.m. She left at 3:45 p.m. How long did Francine work?
• Brandon went to bed at 9:15 p.m. It took him 23 minutes to fall asleep. What time did Brandon fall asleep?
• Kelli had to wait in a long, slow-moving line to purchase a popular new video game that was just released. She got in line at 9:15 a.m. She left with the game at 11:07 a.m. How long did Kelli wait in line?
• Jaydon went to batting practice Saturday morning at 8:30 a.m. He left at 11:42 a.m. How long was he at batting practice?
• Ashton got behind on her reading assignment, so she had to read four chapters last night. She started at 8:05 p.m. and finished at 9:15 p.m. How long did it take Ashton to catch up on her assignment?
• Natasha has a dentist appointment at 10:40 a.m. It should last 35 minutes. What time will she finish?
• Mrs. Kennedy’s 3rd-grade class is going to the aquarium on a field trip. They are scheduled to arrive at 9:10 a.m. and leave at 1:40 p.m. How long will they spend at the aquarium?

Elapsed Time Games

Try these games and activities at home to help your children practice elapsed time.

Daily Schedule

Let your children keep track of their schedule and ask them to figure the elapsed time for each activity. For example, how long did your child spend eating breakfast, reading, taking a bath, or playing video games?

How Long Will It Take?

Give your kids practice with elapsed time by encouraging them to figure out how long daily activities take. For example, the next time you order a pizza online or by phone, you'll probably be given an estimated delivery time. Use that information to create a word problem that's relevant to your child's life, such as, "It's 5:40 p.m. now and the pizza shop says the pizza will be here at 6:20 p.m. How long will it take for the pizza to arrive?"

Order a set of time dice from online retailers or teacher supply stores. The set contains two twelve-sided dice, one with numbers representing the hours and the other with numbers representing minutes. Take turns rolling the time dice with your child. Each player should roll twice, then calculate the elapsed time between the two resulting dice times. (A pencil and paper will come in handy, as you'll want to jot down the time of the first roll.)

Elapsed Time Word Problem Answers

•  2 hours and 2 minutes
• 6 hours and 34 minutes
• 2 hours and 30 minutes
• 7 hours and 35 minutes
• 1 hour and 52 minutes
• 3 hours and 12 minutes
• 1 hour and 10 minutes
• 4 hours and 30 minutes
• How To Tell Time in Spanish
• Sinking of the RMS Titanic
• A Timeline of the Sinking of the Titanic
• How to Tell Time in Italian
• When Is the Spring Equinox?
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• What Time Is the SAT Test?
• World War II: Operation Ten-Go
• Proportions Word Problems Worksheet: Answers and Explanations
• Telling Time in French
• Building an Effective Plan of Improvement for Teachers
• Learn About the Munich Olympic Massacre
• Fundamental Lessons for Telling the Time
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• What Is Uptime in Web Hosting?
• President John F. Kennedy's Assassination

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How to Solve Word Problems of Elapsed Time

Word problems involving elapsed time at the elementary level typically require students to determine the time that has passed between two given times or events.

A Step-by-step Guide to Solving Word Problems of Elapsed Time

Here’s a step-by-step guide to help you solve word problems involving elapsed time:

Step 1: Read and Understand the Problem

Carefully read the word problem to fully understand what it is asking. Identify the starting time, ending time, and any other relevant information provided.

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Step 2: identify the knowns and unknowns.

Determine what information is given (knowns) and what information you need to find (unknowns). This will help you organize the problem and set up the solution.

Step 3: Determine the Time Units

Identify the units of time used in the problem. Determine if the problem involves hours, minutes, or a combination of both.

Step 4: Set Up the Problem

Based on the knowns and unknowns, set up the problem mathematically. Determine the operation you need to perform to find the elapsed time.

• To find the elapsed time, subtract the starting time from the ending time.
• To find the ending time, add the elapsed time to the starting time.

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Step 5: perform the operation.

Perform the necessary calculations to find the answer. Make sure to carry over minutes or hours correctly when subtracting or adding time.

Step 6: Check Your Answer

Double-check your calculations and ensure that your answer makes sense in the context of the problem. Verify that the units of time are correct and the answer aligns with the question asked.

Practice solving various word problems involving elapsed time to strengthen your skills. Remember to carefully read the problem, identify the knowns and unknowns, and set up the problem correctly before performing the calculations.

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Home / United States / Math Classes / 3rd Grade Math / Problems on Elapsed Time

Problems on Elapsed Time

Elapsed time is the quantity of time that has passed between the beginning and the ending of an event. Here we will lear n the meaning of elapsed time, and we will solve some problems based on it to gain a better understanding of the concept. ...Read More Read Less

Table of Contents

• What is ‘Elapsed Time’?
• How do we solve Problems related to Elapsed Time?

Solved Examples

• Frequently Asked Questions

What is ‘Elapsed Time’ ?

The elapsed time of an event is the time that passes between the commencement and the ending of the event. In simple words, it tells us the amount of time for which the event goes on. We use the concept of elapsed time to understand the durations of various events that occur around us.

How do we solve Problems related to Elapsed Time ?

We can easily calculate the elapsed time of events using a simple formula. To find the elapsed time of an event, we need to subtract the start time from the end time of the event. 

Elapsed time = End time – Start time

The difference between the start time and the end time tells us the duration for which the event progresses. In some cases, we might know the elapsed time and the start time of the event. We can rearrange this formula and use it to find the end time from the given data. 

Similarly we can use this formula to find the start time if the end time and elapsed time are known.

Example 1: A theater started a show at 8:30 PM, and the show ended at 10:30 PM. If there was a 10-minute intermission, find the elapsed time of the show. 

To find the elapsed time of the show, we need to subtract the start time from the end time. 

Elapsed time = 10:30 PM – 8:30 PM

Elapsed time = 2 hours

But there was a 10-minute intermission in between the show. 

Hence, actual elapsed time = 2 hours – 10 minutes

Actual elapsed time = 1 hour 50 minutes

Therefore the elapsed time of the show was 1 hour 50 minutes.

Example 2: Ellie is about to take a test that has a duration of 90 minutes. If she is supposed to start the test at 11:15 AM, find the time at which she is expected to finish the test.

Duration of the test = 90 minutes

To find the time at which Ellie is supposed to conclude the test, we need to convert the test duration into hours. 

Duration of test in hours = 1 hour 30 minutes. 

We know that the test starts at 11:15 AM. 

The time at which the test ends = start time + test duration

                                                   = 11:15 + 1 hour 30 minutes

                                                    = 11:15 + 1:30

                                                    = 12:45

Hence, Ellie is supposed to finish the test at 12:45 PM.

Example 3: Joel traveled from Denver to Albuquerque by road. He starts the journey from Denver at 6:00 AM and arrives in Albuquerque at 1:30 PM. Calculate the elapsed time of his journey. 

Start time of the journey: 6:00 AM

End time of the journey: 1:30 PM

To find the elapsed time, we need to subtract the start time from the end time.

We will convert the start time and end time into the 24-hour format to make calculations easier. 

Start time of the journey: 6:00

End time of the journey: 13:30

Elapsed time = 13:30 – 6:00

∴ Elapsed time = 7:30 or 7 hours and 30 minutes

So, Joel took 7 hours and 30 minutes to complete the journey between Denver and Albuquerque.

What is elapsed time?

The elapsed time of an event is the time that passes from the beginning to the end of the event.

Where do we apply the concept of elapsed time in real life?

We use the concept of elapsed time to find the time we spend on day-to-day activities like studies, exercise, sleep, and so on.

What is the difference between elapsed time and ETA?

The elapsed time of an event is the time that has passed between the beginning and the ending of an event. On the other hand, ETA means ‘Estimated Time of Arrival’. The term ETA is usually used in the fields of logistics and transport to express the time at which a ship, airplane or bus will arrive at the destination.

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Elapsed Time Word Problems

By the conclusion of 3rd grade students should be able to tell time to the nearest minute as well as calculating elapsed time problems within the hour using tools such as a number line. Targeting this skill, first, by using hands-on materials (like a model clock) will bring this concept to life for your students! You can then progress towards a more efficient model–solving elapsed time problems on a number line.

The 5 examples listed are certainly not an exhaustive list of tools and lessons that could be used to teach this skill.

They are rather a sample progression from hands-on to abstract thinking! 

Which step represents your students’ current level of understanding? 

Your first goal in helping your students to understand elapsed time is to make connections between time on a clock and a number line so that your students can use a skill they already have (how to navigate a number line) in order to understand a new skill (calculating elapsed time).

Begin the lesson by telling your students a story:

Last weekend I took a trip in the car. We left the house at 1:00 in the afternoon and didn’t arrive until 5:00 in the evening. It was a long trip! Let’s see if we can figure out how long we were in the car for.

Show your students the model clock and model how your trip began at one o’clock. Move the hour hand from one o’clock to two o’clock and tell your students “We were in the car all the way from 1:00 to 2:00- that’s a whole hour! But our ride wasn’t done yet.” Move the hand again from 2:00 to 3:00 “Look! We were in the car another whole hour from 2:00 to 3:00… but we still weren’t there yet!” Again, move the hand from 3:00 to 4:00 and, again, illuminate that this was yet another hour. “Look! Another hour has gone by and we were STILL in the car! But, believe it or not, we still weren’t there yet!” Move the hour hand one final time from 4:00 to 5:00 “Finally, one more hour in the car and we were at our destination!”

Ask your students if they can tell you how long you were in the car in all. Record your students guesses on a white board and ask your students to explain their thinking.

Next, translate this work to a number line and show how each hour on the clock can be translated to a “jump” on the number line. 

It’s time to start developing flexibility in your students by illuminating the fact that the missing number in an elapsed time problem can be the start or end time rather than only the elapsed time.

Conduct this step much in the same way you explored calculating elapsed time in the first activity. 

Next weekend I’m planning on going on a hike to [insert something local to you]. I’m going to get started on my hike at 3:00 but it’s expected to take 2 hours to finish my hike. What time do you think it will be when I finish my hike?

Ask your students if they have any ideas around how you might solve this problem. Have a clock with moveable hands and a whiteboard available to your students so that they can use the tools they practiced in the first activity. 

In the first two elapsed time activities your students showed each individual jump as an hour on a number line.

The biggest difference in the calculation of elapsed time in hours vs. minutes on a number line is that your students will want to work in more efficient jumps when calculating time in minutes. Rather than showing each individual minute jump on the number line your students will want to work in “easy to manage” jumps. There is not one correct way to work along a number line and the more flexible your students are in decomposing numbers, the more efficient they will have the ability to be!

Explore calculating elasped time to the minute in the same way you explored time to the hour using the clock with moveable hands as well as the number line but highlight for your students the different ways they can “jump” along the number line. For example, jumps of 10 minutes, jumps of 5 minutes, jumps to benchmark numbers, etc. 

Your students have been using a clock and number line to calculate elapsed for several days at this point. The purpose in this activity is two-fold.

First, in activity #2 you made the explicit connection that a number line could be used to find a start or end time rather than elapsed time alone. You are making that connection again for time to the minute.

Second, you are providing addition practice moving along the number line to increase your students’ flexibility and efficiency with this tool.

Begin this activity with a story context about a train station.

There was a big mix-up at the train station! Someone spilled their coffee on the train schedule and no one can read the train departures and arrivals! Your job will be to fill in the missing pieces of the schedule so that everyone can get to their destinations.

The orange train is set to leave the station at 3:20 for a 25 minute trip. What time will it arrive at it’s destination?

Allow your students to use the moveable clock and number line to solve for the missing time. You are looking first for students who are correctly using the number line- address any misunderstandings of students who may be incorrectly using the number line.

Your students have now had experience solving elapsed time problems to the hour, minute and including missing start and end times.

Be sure to provide your students opportunities to solve when you have mixed each of these experiences together so they can become flexible moving between each of these different problem types.

Consider using numberless word problems to promote a focus on the action of the word problem and to aid in overall comprehension. 

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• Finding reasonable unit of measurement example
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Telling time word problems

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• (Choice B)   B
• (Choice C)   C
• (Choice D)   D

Printable Elapsed Time Word Problems Worksheets [PDF Included]

Knowing how to tell, calculate or understand time is an essential skill that children tend to grasp at a young age. But just like any new thing we get acquainted with, learning to tell time and calculate the time elapsed can get confusing and overwhelming, especially in the puerile years.

Elapsed time is the discrepancy between the starting and ending times. This concept sometimes seems perplexing due to the inefficiency in coordinating with the units. Multiple ways and techniques can be employed in helping out kids practice elapsed time.

And this is exactly where elapsed time worksheets come in. In this post, we have curated different activities for young minds to help them learn and master calculating and managing time effortlessly. Read below to learn more about these worksheets and their numerous advantages. 

What’s included in these elapsed time worksheets?

Elapsed time worksheets consist of problems involving daily events that will help your child get better in telling time calculating it.. This series of worksheets will teach students how to determine an elapsed time by practicing it with story-based math problems. Have a look:

1. Word problems for time telling

Under this activity, There are different word problems based on common daily life events which will help kids connect and understand the context easily.

The activity is broadened with routine movements that make one figure out what time it is and how much time a particular event takes to complete. For example the arrival of a train,  the time school gets over, Sam leaving for school, and likewise.

By the end of this activity, the child will be able to effortlessly tell the elapsed time between 2-time stamps, and understand the clock. Through this, they will also learn to add or subtract time. 

2. A day in Mr. Smith’s life

The second activity takes it a step further. It has a story crafted about a day in Mr. Smith’s life. It starts when he leaves his home for work in the morning and when he comes back home after the entire day at work. 

The activity also has small illustrations to help the child identify which place is what. For example, a cafe, grocery store, home, office, etc.

The child will have the opportunity to calculate and answer questions ranging from “what time has he reached his workplace?” or “How much did it take for Mr. Smith to reach home?”

Time elapsed worksheet – what can you expect after solving these questions?

These simple elapsed time worksheets are ideal for assisting children in practicing elapsed time to the closest minute using basic mental math and situation-based questions. 

Elapsed time worksheets will assist students in solving various word problems using digital and analog clocks. These will help in getting knowledge of hours, minutes, and seconds.

But it also rewards you with the following benefits –

• A sense of motivation develops in your child to learn more and do better.
• Get more comfortable with studying the clock and answering daily questions about time.
• A strong hold over situation-based questions such as daily life instances.
• A gradual improvement in managing time.

Learning is a rigorous journey with many questions to be answered, but these worksheets might provide a solid starting point for diving into time and its calculations. 

How to effectively use these worksheets?

• These free worksheets can be simply integrated into a student’s learning plan and tailored to their specific needs. Parents and instructors can distribute these printouts all at once or one at a time, depending on your child’s level of cognition.
• If you are a parent, have your child do these worksheets by giving them a clock toy to help them participate more effectively in the task.
• Distribute these worksheets in class as an interactive activity. Students can form teams and one team can role-play the questions mentioned in the worksheet and the other teams can solve and find the answer.

Summing up,

Academic education may include a variety of sources of information for practice such as books, workbooks, and other hands-on activities. They all have their own set of advantages. It is important to understand which one fits your child the best according to their learning style. 

A suitable worksheet exercise can help any learning style. These free printable worksheets help students understand time better. These are simple to use. All you have to do is download, print, and start practicing them.

Last but not least, never forget to acknowledge your child or student’s effort. The appreciation awarded at the right time in the right moment goes a long way and helps them strive for perfection!

An engineer, Maths expert, Online Tutor and animal rights activist. In more than 5+ years of my online teaching experience, I closely worked with many students struggling with dyscalculia and dyslexia. With the years passing, I learned that not much effort being put into the awareness of this learning disorder. Students with dyscalculia often misunderstood for having  just a simple math fear. This is still an underresearched and understudied subject. I am also the founder of  Smartynote -‘The notepad app for dyslexia’, 

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Elapsed Time Problems: 2nd Grade

Related Topics: Common Core Math Resources, Lesson Plans & Worksheets for all grades Common Core Math Video Lessons, Math Worksheets and Games for Grade 2 Common Core Math Video Lessons, Math Worksheets and Games for all grades

Worksheets, examples, and solutions to help Grade 2 students learn how to solve elapsed time problems involving whole hours and a half hour.

Common Core Standards: 2.MD.7, 2.G.3, 2.NBT.2, 2.NBT.5, 2.NBT.6

New York State Common Core Math Grade 2, Module 8, Lesson 16

Nys math grade 2, module 8, lesson 16.

Worksheets for Grade 2

Lesson 16 Concept Development and Homework

• How much time has passed? a. 2:00 p.m. → 8:00 p.m. b. 7:30 a.m. → 12:00 p.m. (noon) c. 10:00 a.m. → 4:30 p.m. d. 1:30 p.m. → 8:30 p.m. e. 9:30 a.m. → 2:00 p.m.
• Solve a. Kylie started basketball practice at 2:30 p.m. and finished at 6:00 p.m. How long was Kylie at basketball practice? b. Jamal spent 4 and a half hours at his family picnic. It started at 1:30 p.m. What time did Jamal leave? c. Christopher took 2 hours doing his homework. He finished at 5:30 p.m. What time did he start his homework? d. Henry slept from 8 p.m. to 6:30 a.m. How many hours did Henry sleep?

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Time Word Problems

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Time Word Problems Worksheets

Time riddles (harder).

Welcome to our Time Word Problems Worksheets page. Here you find our selection of more challenging Time Riddles to help your child learn to read, record and solve problems involving time and clocks.

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Looking for some 24 hour clock problem sheets? Do you need some challenging time problems for older children? Then hopefully you have found the right place!

The printable time sheets in this section involve being able to tell the time to the nearest minute, as well as converting times between the 12 and 24 clock.

These worksheets are great to use when your child is confident telling the time and needs to extend their knowledge by solving time problems.

The sheets are also very good at developing an understanding of mathematical language associated with time.

Each sheet has 2 different Time Riddles with 8 possible solutions.

The aim of each puzzle is to use the clues to work out the correct solution.

Using these sheets will help your child to:

• read times to the nearest minute;
• convert analogue to digital times;
• use 'past' and 'to' language correctly to tell the time;
• convert times between the 12 and 24 hour clock;
• solve problems involving time;

Our time word problems worksheets will help you practice applying your time skills and knowledge to solve problems.

Time Word Problems Worksheets : to the nearest minute

• Time Riddles 4a
• PDF version
• Time Riddles 4b
• Time Riddles 4c

Time Word Problems Worksheets: 24 hour clock

The printable time worksheets in this section involve converting times between the 12 and 24 hour clock.

• 24 Hour Time Riddles Sheet 1
• 24 Hour Time Riddles Sheet 2
• 24 Hour Time Riddles Sheet 3

Extension Activity Ideas

If you are looking for a way to extend learning with these Time Riddles, why not...

• Get children to work in partners with one child choosing one of the 8 possible times and the other child asking 'yes/no' questions. E.g. Is it earlier than...? Is the minute hand on number 6...? Is it later than 4pm? ... etc
• Children could write their own set of clues down to identify one of the clocks.

Looking for something easier?

Here you will find our selection of easier Time Riddles.

The sheets in this section are similar to those on this page, but involve telling the times: o'clock and half-past, quarter past and quarter to, and to 5 minute intervals.

• Time Riddles (easier)

Need help telling the time?

Here you will find our selection of telling time clock worksheets to help your child to learn their o'clock, half-past, quarter past and to, and 5 minute intervals.

• read o'clock, half-past times;
• read quarter past and quarter to;
• read time going up in 5 minute intervals;
• convert analogue times to digital;

The sheets in this section are a great way of starting your child off with learning to tell the time.

• Telling Time Worksheets o'clock and half past
• Clock Worksheets - Quarter Past and Quarter To
• Telling Time 5 minute intervals
• Telling Time Worksheets Grade 4 (1 minute intervals)

Time Interval Worksheets

These sheets will help you learn to add and subtract hours and minutes from times as well as working out a range of time intervals.

There are also sheets to help you practice adding and subtracting time intervals.

• Add and Subtract Time Worksheets
• Elapsed Time Worksheets
• Online Age Calculator

Do you want to know exactly how old you are to the nearest minute?

Have you been alive for more than a billion seconds?

Do you know how many days old you are?

Our online age calculator will tell you all you need to know...

How to Print or Save these sheets 🖶

Need help with printing or saving? Follow these 3 steps to get your worksheets printed perfectly!

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Time word problems for grade 3

Time and elapsed time worksheets.

In these word problems students determine what time it will be in a certain number of hours, or what time it was, or how much time has elapsed between two events. Some conversion between hours and minutes.

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