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Question

If in a race of 240 m M can beat N by 40 m and P by 70 m, then N can beat P by:


A

24m

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B

20m

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C

30m

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D

36m

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E

40m

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Solution

The correct option is D

36m


In a race of 240m, as M beats N by 40m, when M runs 240m, N runs 200m.

Similarly, as M beats P by 70m, when M covers 240m, P covers 170m.

Hence, when N runs 200m, P runs 170m.

When N runs 240m, P runs 240×170200=204m

Hence, N beats P by 36m.


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