Distance Time Graphs

1
Distance Time Graphs

• Arithmetic

2
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 journey b The time
at which he stopped c For how long he stopped d
Between which times he was cycling the
fastest. e His average speed for the whole
journey.
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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 ?
4
Distance, time graphs.
3.
The graph shows Sarahs 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 ?
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Distance, time graphs.
4.
The graph shows Hazels 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 ?
6
Distance, time graphs.
5.
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 ?
7
Distance, time graphs.
6.
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.
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Distance, time graphs.
7.
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.
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Distance, time graphs.
8.
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.
10
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.
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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.
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Distance, time graphs.- drawing your own.
11.
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.
12.
Two friends live 60 kilometres apart. They
arrange to meet at some point on the road
between their homes. Keith leaves at 945 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 ?
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Distance, time graphs.- drawing your own.
13.
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 1030 am. a)
Show Sandras walk on a distance time
graph Sandras 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
Grahams run on the same distance time graph c)
At what time will Graham overtake Sandra ?
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Solutions
Distance Time Graphs. Solutions 1. a 9
am b 11 am c 40 min d 10 am 11 am e 10
mph 2. a 1100 1150 b 40 min c 2 h 10
min d 2824 mph 3. a 40 miles b 0900
1000 c 1333 mph 4. a 1500 b 10 miles
c 30 min d 30 mph 5. a 30 min b
625 km/h c 45 km/h d 11 am 6. a
Jim b Paul c Celia 7. a 45 min
b 11 am c 115 pm d Ken 1231 km/h
Jim 1778 km/h 8. a cyclist b motorist
c 110 pm d 16 km/h 30 km/h 9. a
1030 b 1150 c Peter d Derek
1333 mph Peter 4455 mph 10. a 1100 b
80 min c 2 h 40 min d Mary
11.
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Solutions
12.
b 1215 c Keith
13.
c 1200