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Class X || Maths || Mathematics - ICSE Specimen Question Paper - 2023 with Marking Scheme SelfStudys.com

A school boy walks from his house to school at the rate of 4kmph. He reaches the school 20 minutes earlier than the scheduled time. If he walks at the rate of 3kmph, he reaches the school 20 minutes late. What is the distance of the school from his house?

ANSWER

Let the distance of the school from house be 'd ' k.m. and the usual time be 't' hours.
Given
d/4 = t - 20/60 = t - 1/3
d/3 = t +20/60 = t + 1/3
So d/3 - d/4 = 1/3 + 1/3 4 = 2/3
Therefore d/12 = 2/3
On simplification, d = 8
Hence the required distance is 8 k.m.

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