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Pipe X, Y and Z can fill a tank in 10 minutes, 5 minutes and 10 minutes respectively. Find the time taken by the tank to be filled, if all the pipes are opened simultaneously.3 minutes19 minutes3.7 minutes2.5 minutesNone

Question

Pipe X, Y and Z can fill a tank in 10 minutes, 5 minutes and 10 minutes respectively. Find the time taken by the tank to be filled, if all the pipes are opened simultaneously.3 minutes19 minutes3.7 minutes2.5 minutesNone

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Solution

First, we need to find the rate at which each pipe can fill the tank.

Pipe X can fill the tank in 10 minutes, so it fills 1/10 of the tank per minute. Pipe Y can fill the tank in 5 minutes, so it fills 1/5 of the tank per minute. Pipe Z can fill the tank in 10 minutes, so it fills 1/10 of the tank per minute.

If all the pipes are opened simultaneously, they will fill the tank at a combined rate of 1/10 + 1/5 + 1/10 = 1/2 of the tank per minute.

Therefore, it will take 2 minutes for the tank to be filled when all the pipes are opened simultaneously. So, the correct answer is 2 minutes.

This problem has been solved

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