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Question

# A student walks to school at the rate of 7.5km/hr and reaches 10 minutes late.If he travels at the speed of 10km/hr he is 10 minutes early .What is the distance to the school?

A

5km

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B

12km

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C

10km

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D

Data insufficient

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Solution

## The correct option is C 10km Let the distance to the school be 1 km,then the time taken to cover 1km at the rate of 7.5km/hr=distancespeed=1152=215×60=8min Time taken to cover 1km at the rate of 10km/hr = distancespeed=110=110×60=6min Difference in time taken = (8-6)=2min. When the difference in time is 2min,the distance is 1km. if the difference is 20min,the distance is 202=10km

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