Question
Pipe A can fill the tank in 20 hours. Pipe A and B
together can fill it in 10 hours. Pipe B and C together can fill it in 8 hours. In how many hours will A, B and C together fill the tank?Solution
ATQ, A = 1/20 A + B = 1/10 So, B = 1/10 − 1/20 B = (2 − 1)/20 = 1/20 B + C = 1/8 So, C = 1/8 − 1/20 C = (5 − 2)/40 = 3/40 A + B + C = 1/20 + 1/20 + 3/40 = (2 + 2 + 3)/40 = 7/40 Required time = 40/7 hours
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