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InterviewSolution
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Pipes X,Y and Z are fitted to a pank. X and Y can fill a tank in 18 hours and 24 hours respectively. Z is an emptying pipe which can empty the tank in 9 hours. All the pipes are opened simultaneously when the tank is half full. The tank would beA. filled in 72 hoursB. empitied in 72 hoursC. filled in 36 hours.D. emptied in 36 hours |
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Answer» Correct Answer - D Part of the tank which X and Y can fill in one hour =`(1)/(18)+(1)/(24)=(7)/(72)` Part of the tank that Z can empty in one hour `=(1)/(9)=(8)/(72)` Emptying rate of `Zgt` filling rate of X and Y. `:.` The tank will be emptied Part of it emptied eac hour `=(8)/(72)-(7)/(72)=(1)/(72)` Time taken to empty `(1)/(2)` of the tank `=((1)/(2))/((1)/(72))` hours `=36` hours |
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