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Three pipes X, Y and Z are fitted to a t...

Three pipes X, Y and Z are fitted to a tank. For any pipe, the rate of filling is the same as that of the rate of empting. The rates of filiing of X, Y and Z are in the ratio `2:3:4`. X alone can fill the tank in 5 hours. Find the time taken in hours, to fill the tank if X is used as an emptying pipe while the other two are used as filling pipes.

Text Solution

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(a) Volume of the tank=(filling capacity of tap x)(Time taken to fill the tank by it alone).
(b) Find the time taken by Y and Z using the given raio.
(c ) Calculate the part of the tank filled by all the pipes with given conditions in one minute and proceed.
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