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 observe that the car stopped at the service station from 13:10 to 13:30. Therefore, the duration of the stop is calculated as:
Time stopped = 13:30 - 13:10 = 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
The car traveled 50 miles from London to the service station in 50 minutes. To find the average speed in miles per hour:
Average speed = (Distance / Time) × 60
Here, Time in hours = 50 minutes = 50/60 = 5/6 hours.
Therefore, Average speed = (50 / (5/6)) = 60 mph.
Step 3
Complete the graph.
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Answer
Lucy arrived in Sheffield at 14:20, having traveled a total of 180 miles from London. This additional information helps in plotting the final line on the graph, which should connect the endpoint at (14:20, 180) with the previous point at the service station.
