Question
P and Q can do a work in 10 days. Q and R can do it in
12 days. All three together can finish in 8 days. In how many days can P and R can complete the work?Solution
Let, total work = LCM of (10, 12 and 8) = 120 Efficiency of (P + Q) = 12 Efficiency of (Q + R) = 10 Efficiency of (P + Q + R) = 15 Efficiency of R = 15-12 = 3 Efficiency of P = 15-10 = 5 Efficiency of (P+R) = 3 + 5 = 8 P and R both complete the whole work in = 120/8 = 15 days
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