Question
P, Q and R three pipes connected to a tank. P and Q
together fill the tank in 30 hours, Q and R together fill the tank in 40 hours. P and R together fill the tank in 60 hours. In how much time will P, Q and R fill the tank separately?Solution
A + B fill in 30 hrs B + C fill in 40 hrs A + C fill in 60 hrs 2(A + B + C) fill in (30 × 40 × 60) ÷ (30 × 40 + 40 × 60 + 60 × 30) = 40/3 hours Therefore A + B + C fill the tank in 80/3 hours Now, A = (A + B + C) – (B + C) fills in (3/80 - 1/40) = 1/80 = 80 hours Similarly B fills in (3/80 - 1/60) = 1/24 = 48 hours And C fills in (3/80 - 1/30) = 1/240 = 240 hours.
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