Question
A and B together can complete a work in 12 days, B and C together in 15 days, and C and A together in 20 days. In how many days can A, B and C together complete the work?
Solution
ATQ, A + B = 1/12 B + C = 1/15 C + A = 1/20 Add all: 2(A + B + C) = 1/12 + 1/15 + 1/20 LCM = 60 = 5/60 + 4/60 + 3/60 = 12/60 = 1/5 So, A + B + C = 1/10 Therefore total work will be completed in 10 days.
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