Targeting Grade CUnit 3

Algebra 3

Travel Graphs

GCSE Mathematics

Review 1: Key facts

Practice 1: GCSE questions

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Can you:

If not you need

•Remember the key points about

travel graphs

•Answer examination questions

Involving:

Calculating how long was a rest

Calculating how far did they travel

Working out the average speed

Completing a travel graph

Travel graphs – Always the same and always easy!

The Four Key Points:

• A travel graphs is always

DISTANCE against TIME

• FLAT sections are where it’s STOPPED

• The STEEPER the graph the FASTER it’s going

• For any section,SLOPE (gradient) = SPEED

Remember SPEED = Distance ÷ Time lesson

1. Jane drove 320 km from her home to the airport. The travel graph shows Jane’s journey.

3 2 0

2 8 0

2 4 0

2 0 0

1 6 0

1 2 0

8 0

4 0

1 2 3 4 5

Tim e in h o u rs

Dis

tanc

e fr

om h

ome

in k

m

During the journey, Jane stopped for lunch.

(a) (i) For how long did Jane stop for lunch?

(ii) How far had Jane travelled in the first 90 minutes?

(b) Work out the steady speed that Jane travelled at after lunch.Continue

30 minutes120 Km

60 Km/Hr

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Jane’s car uses 1 gallon of petrol for each 40 miles.A gallon of petrol costs £3.20

(c) Work out the cost of petrol for Jane’s 320 km journey.

3 2 0

2 8 0

2 4 0

2 0 0

1 6 0

1 2 0

8 0

4 0

1 2 3 4 5

Tim e in h o u rs

Dis

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om h

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More questions

£25.60

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2. Here is part of a travel graph of Siân’s journey from her house to theshops and back.

2 0

1 8

1 6

1 4

1 2

1 0

8

6

4

2

5 1 0 1 5 2 0 2 5 3 0 3 5 4 0 4 5 5 0 5 5 6 0 6 5 7 0 7 5 8 0

Tim e in m in u te s

D istan cein k mfro m S i n ’sh o u se

â

(a) Work out Siân’s speed for the first 30 minutes of her journey.Give your answer in km/h.

More questions

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40 Km/Hr

Siân spends 15 minutes at the shops.

She then travels back to her house at 60 km/h.

(b) Copy and complete the travel graph.

2 0

1 8

1 6

1 4

1 2

1 0

8

6

4

2

5 1 0 1 5 2 0 2 5 3 0 3 5 4 0 4 5 5 0 5 5 6 0 6 5 7 0 7 5 8 0

Tim e in m in u te s

D istan cein k mfro m S i n ’sh o u se

â

More questions

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3. A man left home at 12 noon to go for a cycle ride.The travel graph represents part of the man’s journey.

At 12.45pm the man stopped for a rest.

(a) For how many minutes did he rest?

(b) Find his distance from home at 1.30pm.More questions

15 minutes

15 Km

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The man stopped for another rest at 2pm.He rested for one hour.Then he cycled home at a steady speed. It took him 2 hours.

(c) Copy and complete the travel graph.

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4. James left home at 10 00 am.He walked to the swimming pool.On the way to the swimming pool he stopped to talk to a friend.Here is the distance-time graph for his complete journey.

5

4

3

2

1

01 0 0 0 11 0 0 1 2 0 0 T im e

D is tan ce in k mfro m

Jam es’ h o m e

More questions

(a) For how many minutes did James stop and talk to his friend?(b) What is the distance from James’ home to the swimming pool?

5

4

3

2

1

01 0 0 0 11 0 0 1 2 0 0 T im e

D is tan ce in k mfro m

Jam es’ h o m e

More questions

45 minutes5 Km

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5. The graph shows the rate of rainfall, in mm per hour, one afternoon last year.

1 .5

1

0 .5

01 2 0 0 1 3 0 0 1 4 0 0 1 5 0 0 1 6 0 0 1 7 0 0 1 8 0 0

T im e

R a teo fra in fa ll(m m p e rh o u r)

(a) At what time did it start to rain?

(b) What was the rate of rainfall at 1700 in mm per hour?

(c) What happened to the rate of rainfall between 1600 and 1615?More questions

13.30

1.5 mm/hr

It increased

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6. Robert left school at 3 30 pm.He walked home. On the way home, he stopped to talk to a friend.His sister, Sarah, left the same school at 3 45 pm.She cycled home using the same route as Robert.Here are the distance-time graphs for Robert’s and Sarah’s complete

journeys.

3

2

1

03 3 0 3 4 0 3 5 0 4 0 0

D is tan cefro msch o o l(k m )

T im e(p m )

More questions

(a) Find the distance Robert walked during the first 10 minutes of his journey.(b) Find the total time that Robert stopped to talk to his friend.(c) Write down the distance that Robert had walked when Sarah cycled past him.

3

2

1

03 3 0 3 4 0 3 5 0 4 0 0

D is tan cefro msch o o l(k m )

T im e(p m )

Lesson

1 Km30 minutes

2 Km

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