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Pipe A and B together can fill a tank in 12 hrs and 15 hrs respectively. Pipe C can empty the full tank in 10 hrs. If all three pipes opened together, then in how many hrs the tank will full?

Pipe A and B together can fill a tank in 12 hrs and 15 hrs respectively. Pipe C can empty the full tank in 10 hrs. If all three pipes opened together, then in how many hrs the tank will full? Correct Answer 20 hrs

Given:

Pipe A can fill a tank in 12 hrs

Pipe B can fill a tank in 15 hrs

Pipe C can empty the full tank in 10 hrs

Formula:

Total work = Efficiency × Time

Calculation:

Let total work be 60 units (LCM of 12, 15 and 10)

Efficiency of A = 5 units/hr

Efficiency of B = 4 units/hr

Efficiency of C = -6 units/hr

Total efficiency of A, B and C = 5 + 4 – 6 = 3 units/hr

If all three pipe open together, then time taken to fill the tank = 60/3 = 20 hrs

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