Exam-Style Question on Speed

A mathematics exam-style question with a worked solution that can be revealed gradually

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Question id: 473. This question is similar to one that appeared on a GCSE Higher paper in 2017. The use of a calculator is allowed.

Mr Finknottle takes his parents for a drive in his car.

He drives the first ten miles in ten minutes then drives at an average speed of 68 miles per hour for 1 hour 45 minutes.

He finds this information about his car:

Average Speed (s)$$s \le 65 mph$$$$s\gt 65 mph$$
Miles travelled per gallon6050

Use the information to find how many gallons of petrol he uses during the drive.

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