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Clara travels from her home to Stoke - OCR - GCSE Maths - Question 6 - 2020 - Paper 1

Question 6

Clara travels from her home to Stoke. The distance from her home to Stoke is 100 miles. She travels at an average speed of 50 miles per hour. She stops for 20 minut... show full transcript

Worked Solution & Example Answer:Clara travels from her home to Stoke - OCR - GCSE Maths - Question 6 - 2020 - Paper 1

Step 1

Calculate travel time without stops

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Answer

To find the travel time, use the formula: $\text{Time} = \frac{\text{Distance}}{\text{Speed}}$ In this case, the distance is 100 miles and the speed is 50 miles per hour: $\text{Time} = \frac{100\text{ miles}}{50\text{ mph}} = 2\text{ hours}$

Step 2

Add stop duration

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Clara stops for 20 minutes, which is equal to $\frac{20}{60} = \frac{1}{3} \text{ hours}$ . Therefore, the total time spent on the journey including the stop is:

$2 \text{ hours} + \frac{1}{3} \text{ hours} = 2\frac{1}{3} \text{ hours}$ This can also be expressed as 2 hours and 20 minutes.

Step 3

Calculate departure time

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Answer

Clara arrives in Stoke at 10:10 am. To find out what time she left home, subtract the total journey time of 2 hours and 20 minutes from her arrival time:

Starting from 10:10 am and moving back 2 hours brings us to 8:10 am. Then, subtracting the additional 20 minutes:

$8:10\text{ am} - 20\text{ minutes} = 7:50\text{ am}$ Therefore, Clara left home at 7:50 am.

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