Question
Inlet A can fill a tank in 10 hours. Inlet A and Inlet B
together fill it in 6 hours. Inlet B and Inlet C together fill the same tank in 10 hours. Calculate the time taken by all three inlets to fill the tank together.Solution
ATQ, A's 1-hour work = 1/10 (A+B)'s 1-hour work = 1/6 (B+C)'s 1-hour work = 1/10 B's 1-hour work = (1/6) - (1/10) = (5 - 3)/30 = 2/30 = 1/15 C's 1-hour work = (1/10) - (1/15) = (3 - 2)/30 = 1/30 (A+B+C)'s 1-hour work = (1/10) + (1/15) + (1/30) = (3 + 2 + 1)/30 = 6/30 = 1/5 Required time = 5 hours
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