Frankie and Taylor travel the same distance from town A to town B. Frankie travels at an average speed of 52 kilometres per hour (km/h). Taylor travels at an average speed of 15 metres per second (m/s). The journey takes Frankie 4 hours. Calculate how long the journey takes Taylor. Give your answer in hours and minutes, correct to the nearest minute. You must show your working.

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Frankie and Taylor travel the same distance from town A to town B - OCR - GCSE Maths - Question 25 - 2021 - Paper 1

Question 25

Frankie and Taylor travel the same distance from town A to town B. Frankie travels at an average speed of 52 kilometres per hour (km/h). Taylor travels at an averag... show full transcript

Worked Solution & Example Answer:Frankie and Taylor travel the same distance from town A to town B - OCR - GCSE Maths - Question 25 - 2021 - Paper 1

Step 1

Calculate the distance from town A to town B

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Answer

To find the distance, use the formula:

distance = speed \times time

For Frankie:

distance = 52 \text{ km/h} \times 4 \text{ h} = 208 \text{ km}

Step 2

Convert distance to metres

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Answer

Since Taylor's speed is in metres per second, convert the distance:

208 \text{ km} = 208,000 \text{ m}

Step 3

Calculate the time taken by Taylor

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Answer

Now use the formula:

time = \frac{distance}{speed}

For Taylor:

time = \frac{208,000 \text{ m}}{15 \text{ m/s}} = 13,866.67 \text{ s}

Step 4

Convert time from seconds to hours and minutes

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Answer

Convert seconds to minutes:

13,866.67 \text{ s} \div 60 \approx 231.11 \text{ minutes}

Now convert minutes into hours and minutes:

231 \text{ minutes} = 3 \text{ hours} 51 \text{ minutes}

So, Taylor takes approximately 3 hours and 51 minutes.

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