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The graph shows Sarah's journey from her home to a shopping centre - OCR - GCSE Maths - Question 9 - 2019 - Paper 2

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Question 9

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The graph shows Sarah's journey from her home to a shopping centre. (a) State an assumption that has been made when the graph was drawn. (b) What is the distance f... show full transcript

Worked Solution & Example Answer:The graph shows Sarah's journey from her home to a shopping centre - OCR - GCSE Maths - Question 9 - 2019 - Paper 2

Step 1

State an assumption that has been made when the graph was drawn.

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Answer

One assumption that may have been made is that Sarah travels at a constant speed during her journey to the shopping centre.

Step 2

What is the distance from Sarah's home to the shopping centre?

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Answer

The distance from Sarah's home to the shopping centre is 40 km.

Step 3

Between which two times did Sarah stop? Explain how the graph shows this.

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Answer

From 11:30 to 12:00 shown on the graph by a horizontal line indicating a constant distance of 40 km from home.

Step 4

Complete the graph to show this information.

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Answer

Sarah's return journey starts at 13:00 and ends at 13:40. Draw a line from the shopping centre back to home in a straight diagonal that reaches the home point at 13:40.

Step 5

Work out Sarah's average speed for her journey home. Give your answer in kilometres per hour.

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Answer

The average speed can be calculated using the formula:

ext{Speed} = rac{ ext{Distance}}{ ext{Time}}

Substituting the values, we have:

ext{Speed} = rac{40 ext{ km}}{40 ext{ minutes}} = rac{40 ext{ km}}{2/3 ext{ hour}} = 60 ext{ km/h}

Thus, Sarah's average speed for her journey home is 60 km/h.

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