# Travel Graphs

## Test your understanding of distance-time and speed-time graphs with this self-marking exercise.

##### Level 1Level 2Level 3Level 4DescriptionHelpMore Graphs

This is level 3; Draw a travel graph from the given descriptions.

## Cycling to work

Draw a distance-time graph show the journey a computer programmer makes by bicycle to work each day. The distance from home to work is eight kilometres and she has to stop to buy breakfast after cycling 2km which she does in 5 minutes.

After waiting at the breakfast shop for 10 minutes she continues cycling to work. The whole journey took 30 minutes and before and after the the shop she was cycling at constant speeds.

## Delivering Milk

Draw a distance-time graph show the journey a milk delivery van makes one day. The van travels from the dairy to a restaurant 14km away and then returns to the dairy.

The outward journey takes 30 minutes and the return journey takes 14 minutes. The van spends ten minutes unloading at the restaurant.

## Moped Race

Draw a speed-time graph to show a race between two motor scooters. The purple scooter enters the race track travelling at 20 miles per hour and the green scooter enters the race track travelling at 30 miles per hour.

Both scooters accelerate at a constant rate until they reach their maximum speeds after 10 seconds. The maximum speed of the purple scooter is 60 miles per hour and The maximum speed of the green scooter is 40 miles per hour.

From ten seconds onwards the schhters continue at a constant speed and the race in total lasts only thirteen seconds.

## Sky Train

The Sky Train travels on an elevated track above the roads of a busy city. Draw a speed-time graph to show the journey of a Sky Train travelling between two stations.

The train starts and finishes it's journey at rest. The whole journey takes three minutes. The total distance between the stations is 2160 metres.

The train travels with constant acceleration then constant speed then finally its deceleration is constant. The period of constant acceleration lasts for 60 seconds and the period of constant deceleration lasts for 60 seconds.

The solutions to this and other Transum puzzles, exercises and activities are available here when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher or parent you can apply for one here.

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This is Travel Graphs level 3. You can also try:
Level 1 Level 2 Level 4

## Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

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#### Shunting Puzzles

These puzzles are Transum's versions of the shunting or switching puzzles made popular by train enthusiasts and logic puzzle solvers.

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## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

## Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

## Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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## Description of Levels

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Level 1 - Reading information from distance-time graphs

Level 2 - Reading information from speed-time graphs

Level 3 - Draw a travel graph from the given descriptions

Level 4 - Exam-style questions

## Distance-Time Graphs

For a basic introduction to distance-time graphs see Helicopter View and Hurdles Race. For more details play the video below.

This video is from the Science Shorts series. The video on speed-time graphs can be found here

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