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Taps A and B can fill an empty tank in 30 minutes and 60 minutes respectively. Tap C can empty a full tank in 45 minutes. If all three taps are opened simultaneously, then how much time will it take to fill the empty tank?

Taps A and B can fill an empty tank in 30 minutes and 60 minutes respectively. Tap C can empty a full tank in 45 minutes. If all three taps are opened simultaneously, then how much time will it take to fill the empty tank? Correct Answer 36 minutes

Given:

Tap A can fill an empty tank in 30 minutes

Tap B can fill an empty tank in 60 minutes 

Tap C can empty a full tank in 45 minutes.

Formula used:

Total work = Efficiency × TIme

Calculation:

According to the question,

So, efficiency of (A + B + C) = (6 + 3 - 4) = 5

Time taken by ( A + B + C) to fill the tank = (180/5)  = 36 minute

∴ All the pipes together can fill the tank in 36 minutes.

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