This graph shows part of Lucy's car journey from London to Sheffield - OCR - GCSE Maths - Question 13 - 2017 - Paper 1
Question 13
This graph shows part of Lucy's car journey from London to Sheffield.
The car made one stop at a service station.
Use the graph to answer these questions.
(a) For... show full transcript
Worked Solution & Example Answer:This graph shows part of Lucy's car journey from London to Sheffield - OCR - GCSE Maths - Question 13 - 2017 - Paper 1
Step 1
For how long did the car stop at the service station?
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Answer
From the graph, we can see that the car made a stop at the service station from 13:10 to 13:30. This indicates that the car stopped for a total of 20 minutes.
Step 2
Work out the average speed of the car, in miles per hour, between London and the service station.
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Answer
To calculate the average speed, we first find out the distance covered and the time taken. The car traveled 50 miles in 60 minutes (from 11:00 to 12:00). Therefore, the average speed is given by:
extSpeed=TimeDistance=1 hour50 miles=50 mph.
Step 3
Complete the graph.
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Answer
Since Sheffield is 180 miles from London and Lucy arrived at 14:20, we need to extend the graph. The car will need to travel an additional 130 miles after the service station after 13:30. We can plot a line from (13:30, 120) to (14:20, 180) on the graph to complete it.
