Question
âPawanâ, âQureshiâ, and
âRamâ can finish 50%, 1/3, and 3/4 of a job in 24, 18, and 54 days, respectively. If âPawanâ and âQureshiâ start the job together and work on it for 18 days, calculate how long âRamâ will take to complete the remaining work alone.Solution
ATQ, Time taken by âPawanâ to complete the whole work = (24/0.50) = 48 days Time taken by âQureshiâ to complete the whole work = 18 Ă (3/1) = 54 days Time taken by âRamâ to complete the whole work = 54 Ă (4/3) = 72 days Let total work be 432 units {LCM of 48, 54, and 72} Efficiency of âPawanâ = (432/48) = 9 units/day Efficiency of âQureshiâ = (432/54) = 8 units/day Efficiency of âRamâ = (432/72) = 6 units/day Amount of work done by âPawanâ and âQureshiâ together in 18 days = (9 + 8) Ă 18 = 306 units Remaining work = (432 â 306) = 126 units So, required time taken by âRamâ = (126/6) = 21 days
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