Question
Pipe A fills a tank in 30 hours. Pipes A and B together fill it in 15 hours. Pipes B and C together fill it in 10 hours. Find the time taken by A, B and C together to fill the tank.
Solution
ATQ, A = 1/30 A + B = 1/15 So, B = 1/15 − 1/30 B = (2 − 1)/30 = 1/30 B + C = 1/10 So, C = 1/10 − 1/30 C = (3 − 1)/30 = 2/30 = 1/15 A + B + C = 1/30 + 1/30 + 1/15 = (1 + 1 + 2)/30 = 4/30 = 2/15 Required time = 15/2 hours = 7.5 hours
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