Pipe P can fill and empty tank in 4 hours but pipe Q can completely empty the same tank in 8 hours. But the pipes were opened alternately after every two hours starting with pipe P then in how many hours, the tank was completely filled ?

Pipe P can fill and empty tank in 4 hours but pipe Q can completely empty the same tank in 8 hours. But the pipes were opened alternately after every two hours starting with pipe P then in how many hours, the tank was completely filled ? Correct Answer 10 hours

Let, Capacity of tank be 8 liter (LCM of 4,8) In 1 hour P fill = (8/4) = 21 Q empty = (8/8) = 1L In last 2 hour only p works and fill = 2x 2 = 4L Remains = 8 - 4 = 4 L Now, in 4 hour net filling of P and Q = (2x 2) - (1 x2) = 2L 2L net fill in 4 hr 4L net fill in = (4×4)/2 = 8 hr Total time = 8 + 2 = 10 hr (Ans)
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