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Question

# A boy covered a certain distance at some speed. Had he moved 4.5 kmph faster, he would have taken 1 hr less. If he had moved 3 kmph slower, he would have taken 1 hr more. What is the distance covered by the boy?

A

30

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B

45

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C

60

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D

75

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E

None of these

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Solution

## The correct option is E None of these Let distance=x km and usual rate= y kmph Then, xy−xy+4.5=1→y(y+4.5)=4.5x−−−−−(i)Also,xy−3−xy=1→y(y−3)=3x−−−−−(ii)On dividing (i) by (ii), we get x=90 km

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