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
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.
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