Distance Time GraphsDistance Time Graphs

ArithmeticArithmetic

Distance, time graphs.

1.The graph shows the journey of a cyclist who travelled between two towns 40 miles apart.

Using the graph, find the following :a The time the cyclist began the journeyb The time at which he stoppedc For how long he stoppedd Between which times he was cycling the fastest.e His average speed for the whole journey.

Distance, time graphs.

2. The graph shows a car journey of 80 miles, which Tricia and Mike took when they were in Yorkshire on holiday. They stopped twice to visit places of interest.

a At what times did they stop ?b How long did they spend at the second place of interest ?c How long in total did they spend travelling ?d What was their average speed for the 80 mile journey ?

Distance, time graphs.

The graph shows Sarah‘s recent cycling trip to visit her aunt.a How far did Sarah cycle ?b When was Sarah cycling slowest ?c What was her average speed for the journey ?

3.

The graph shows Hazel‘s motorway journey. At one point she was held up by road works.a At what time did Hazel meet the road works ?b How far did the road works stretch ?c How long did she stop ?d What was her average speed for the whole journey ?

Distance, time graphs.

4.

Distance, time graphs.

Dave recently travelled by car to the Lake District. Here is a graph of his journey.a For how long did he stop ?b What was his fastest average speed during the journey ?c What was his overall average speed for the journey ?d At what time did he arrive at his destination ?

5.

Distance, time graphs.

The graph shows how three people travelled from their homes in the same village to their work in the same town 10 miles away. Paul travelled by bus, Celia cycled and Jim travelled by car. The lines on the graph are labelled a, b and c. Match one line to each person giving reasons.

6.

Distance, time graphs.

Ken and Jim went on a cycling trip. The graph shows both their journeys.a For how long did Ken stop ?b At what time did Jim set off ?c At what time did they both arrive ?d Calculate each of their average speeds.

7.

The graph shows how a cyclist and a motorist travelled between two towns 80 kilometres apart.

a Who left first ?b Who arrived first ?c At what time (nearest 5 min) did the motorist pass the cyclist ?d Calculate each of their average speeds.

8.

Distance, time graphs.

Distance, time graphs.

Peter and Derek live 40 miles apart. They each decide to cycle to visit friends in the other town. Their journeys are shown on the graph.a When did Peter leave ?b At what time (nearest 5 min) did they pass each other ?c Who completed the journey in the shorter time ?d Calculate each of their average speeds.

9.

Distance, time graphs.

The graph shows how Mary and Gwen cycled between their two towns.a At what time did they pass each other ?b How long did Gwen spend resting ?c How long did Mary spend cycling ?d Who had the faster average speed ?

10.

Liam is travelling to meet a client who live 60 miles away. He left his office at 11 am and travelled the first 40 miles in 1 hour. He stopped for 30 minutes to have lunch and then completed the journey in half an hour.

Show his journey on a distance time graph.

Distance, time graphs.- drawing your own.

11.

Two friends live 60 kilometres apart. They arrange to meet at some point on the road between their homes. Keith leaves at 9:45 am and cycles for 1½ hours at an average speed of 16 kph. He then stops for 30 minutes for a rest. when he sets off again he cycles at an average speed of 18 kph. Brian sets out at 10 am and covers the first 14 km in 1 hour. After a rest for half an hour, he continues at an average speed of 16 kph.

a) Show both journeys on a distance time graph.b) At what time do they meet ?c) Who had cycled further ?

12.

Sandra sets off to complete a 20 mile sponsored walk. In training she has averaged a speed of 4 mph. She plans to stop for 15 minutes rest every 2 hours. The walk starts at 10:30 am.

a) Show Sandra‘s walk on a distance time graphSandra‘s brother Graham intends to jog round the course and reckons to average a speed of 6 mph. He sets out at 11 am.

b) Show Graham‘s run on the same distance time graphc) At what time will Graham overtake Sandra ?

Distance, time graphs.- drawing your own.

13.

Distance – Time Graphs. Solutions1. a 9 am b 11 am c 40 min d 10 am – 11 am e 10 mph2. a 1100 1150 b 40 min c 2 h 10 min d 28·24 mph3. a 40 miles b 0900 – 1000 c 13·33 mph4. a 1500 b 10 miles c 30 min d 30 mph5. a 30 min b 62·5 km/h c 45 km/h d 11 am6. a Jim b Paul c Celia7. a 45 min b 11 am c 1:15 pm d Ken 12·31 km/h Jim 17·78 km/h8. a cyclist b motorist c 1:10 pm d 16 km/h 30 km/h9. a 1030 b 1150 c Peter d Derek 13·33 mph Peter 44·55 mph10. a 1100 b 80 min c 2 h 40 min d Mary

11.

Solutions

b 1215 c Keith

12.

13.

c 1200

Solutions