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# Targeting Grade C - PowerPoint PPT Presentation

GCSE Mathematics. Targeting Grade C. Unit 3 Algebra 3 Travel Graphs. 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

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GCSE Mathematics

Unit 3

Algebra 3

Travel Graphs

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

Review 1: Key facts

Practice 1: GCSE questions

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

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.

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.

30 minutes

120 Km

60 Km/Hr

Continue

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.

£25.60

More questions

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

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

40 Km/Hr

More questions

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.

More questions

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.

15 minutes

15 Km

More questions

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.

More questions

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.

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?

45 minutes

5 Km

More questions

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

(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?

13.30

1.5 mm/hr

More questions

It increased

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.

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.

1 Km

30 minutes

2 Km

Lesson