Question
P, Q and R can finish a job in 45 days, 60 days and 90
days respectively. P and Q work together for 12 days. How long will R take to finish the leftover work?Solution
ATQ,
Total work = 180 units (LCM of 45, 60, 90) Efficiency of P = 180/45 = 4 units/day Efficiency of Q = 180/60 = 3 units/day Efficiency of R = 180/90 = 2 units/day Work done by P and Q in 12 days = 12 × (4 + 3) = 84 units Remaining work = 180 − 84 = 96 units Time taken by R = 96/2 = 48 days
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