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Question

# A boy walking at a speed of 10 km/hr reaches his school 15 minutes late. Next time he increases his speed by 2 km/hr, but still, he is late by 5 minutes. Find the distance of his school from his house.

A
10 km
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B
15 km
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C
20 km
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D
25 km
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Solution

## The correct option is A 10 kmLet the distance of his school from the house be x⇒ The difference in time =(15−5)min =10min =1060hr =16hr⇒ Speed during next journey =10+2=12km/hrAccording to the question,⇒ x10−x12=16⇒ x5−x6=13⇒ 6x−5x30=13⇒ x30=13⇒ x=303∴ x=10km∴ The distance of boy school from house is 10km

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