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Trish and Marc both cycled the same distance - OCR - GCSE Maths - Question 12 - 2017 - Paper 1

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Trish and Marc both cycled the same distance. Trish completed the distance in 2 hours. Her average speed was 16 miles per hour. Marc completed the distance in 4 hour... show full transcript

Worked Solution & Example Answer:Trish and Marc both cycled the same distance - OCR - GCSE Maths - Question 12 - 2017 - Paper 1

Step 1

Calculate distance Trish traveled

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Answer

To find the distance Trish cycled, we can use the formula:

extDistance=extSpeedimesextTime ext{Distance} = ext{Speed} imes ext{Time}

Substituting the values for Trish, who cycled at 16 mph for 2 hours:

extDistance=16extmphimes2exthours=32extmiles ext{Distance} = 16 ext{ mph} imes 2 ext{ hours} = 32 ext{ miles}

Step 2

Find Marc's average speed

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Answer

Since Marc cycled the same distance of 32 miles but took 4 hours, we can use the same distance formula to find Marc's average speed:

ext{Speed} = rac{ ext{Distance}}{ ext{Time}}

Substituting Marc's values:

ext{Speed} = rac{32 ext{ miles}}{4 ext{ hours}} = 8 ext{ mph}

Thus, Marc's average speed for the journey is 8 mph.

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