Latest CAT Aptitude Question SOLUTION: A fill pipe can fill a tank in 20 hours, a drain pipe can drain a tank in 30 hours. If a system of n pipes (fill pipes and drain pipes put together) can fill the tank in exactly 5

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A fill pipe can fill a tank in 20 hours, a drain pipe can drain a tank in 30 hours. If a system of n pipes (fill pipes and drain pipes put together) can fill the tank in exactly 5 hours, which of the following are possible values of n ?
1)32 2)54 3)29 4)40

Asked In CAT Devendra Marghade (12 years ago)

Solved Sneha paliwal Read Solution (1)

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Sneha paliwal  (12 years ago)

ans =24 . your given option are wrong. let a and b are two pipe used for fill and drain respectively. then workdone by a in one hour=1/20
and b=1/30
then amount of water fill in tank=(1/20)-(1/30)=(1/60) that is equal to workdone by two pipe then by one pipe=1/120
in 5 hour work done is=5120 now for complete work n =24 pipe needee workdone=5*24/120=1.

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