Distance-time graphs

The Maths Habit Handout to print

What is happening in part B?

They have stopped

Distance-time graph
Shows how far from the start something is as time passes.
Speed
How far something travels in each hour, minute or second.

How far from home after 1 hour?

30 km

How long is the stop?

1 hour

  1. How far from home is the stop? 40 km

  2. How long is the stop? 1 hour

  3. How far is the whole journey? 80 km

Speed = distance ÷ time

Work out the speed

60 km in 2 hours 30 km/h

Work out the speed for part C.

Work out the speed for part A.

Work out the speed for part A.

A
Time (h)2.5
Distance (km)50
Speed (km/h)20

Work out the speed for part A.

A
Time (h)0.5
Distance (km)20
Speed (km/h)40

Work out the speed for part A.

A
Time (h)2.5
Distance (km)50
Speed (km/h)20

Work out the speed for part C.

C
Time (h)1.5
Distance (km)30
Speed (km/h)20

Work out the speed for part A.

A
Time (h)2.5
Distance (km)50
Speed (km/h)20

Work out the speed for part A.

A
Time (h)2
Distance (km)60
Speed (km/h)30

Work out the speed for part A.

A
Time (h)2.5
Distance (km)50
Speed (km/h)20

Work out the speed for part C.

C
Time (h)2
Distance (km)50
Speed (km/h)25

Work out the speed for part A.

A
Time (h)2.5
Distance (km)50
Speed (km/h)20

Work out the speed for part C.

C
Time (h)0.5
Distance (km)30
Speed (km/h)60

Distance-time graphs worksheet, page 1

Distance-time graphs worksheet, page 2

Answer sheet

  1. A journey is 60 km out in 1.5 hours, a 30 minute stop, then 60 km back in 2 hours. Work out the average speed for the whole journey.

    30 km/h
  2. A cyclist leaves home at 10 am and rides 30 km at 15 km/h. She stops for an hour, then rides home at 20 km/h. What time does she get home?

    2:30 pm
  3. Two parts of a journey are on the same distance-time graph. Part P rises 45 km in 1.5 hours. Part Q rises 45 km in 3 hours. Which part has the steeper line, and what does that tell you?

    P: steeper means faster (30 km/h, not 15 km/h)

  1. The graph shows a journey. How long is the stop in part B? Give your answer in minutes.

    30 minutes
    01234010203040Time (hours)Distance (km)ABCD
  2. Work out the speed in part C.

    40 km/h
  3. In which part is the speed fastest? Give a reason.

    C: the steepest line
Exit tickets to print