Pipe X can fill the tank in 20 minutes while Pipe Y can empty it in 60 minutes. In how much time will the tank get filled when both the pipes are opened simultaneously? Ops: A. 40 minutes B. 80 minutes C. 75 minutes D. 30 minutes
Question
Pipe X can fill the tank in 20 minutes while Pipe Y can empty it in 60 minutes. In how much time will the tank get filled when both the pipes are opened simultaneously? Ops: A. 40 minutes B. 80 minutes C. 75 minutes D. 30 minutes
Solution
To solve this problem, we need to find out how much of the tank each pipe can fill or empty per minute.
- Pipe X can fill the tank in 20 minutes. This means it fills 1/20 of the tank per minute.
- Pipe Y can empty the tank in 60 minutes. This means it empties 1/60 of the tank per minute.
When both pipes are opened simultaneously, the amount of the tank that gets filled per minute is the amount filled by Pipe X minus the amount emptied by Pipe Y.
So, the fraction of the tank that gets filled per minute when both pipes are open is (1/20 - 1/60) = 1/30 of the tank per minute.
Therefore, to fill the tank when both pipes are open, it would take 30 minutes. So, the answer is D. 30 minutes.
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