Question
Rahul, Sameer, and Dinesh can
complete a task in 24 days, 36 days, and 18 days, respectively. They started working together, but Rahul left after 3 days. How long will it take Sameer and Dinesh to finish the remaining task?Solution
ATQ,
Let the total work be 432 units. Efficiency of Rahul = 432 ÷ 24 = 18 units/day Efficiency of Sameer = 432 ÷ 36 = 12 units/day Efficiency of Dinesh = 432 ÷ 18 = 24 units/day Work done in the first 3 days = 3 × (18 + 12 + 24) = 162 units Remaining work = 432 – 162 = 270 units Required time = 270 ÷ (12 + 24) = 270 ÷ 36 = (135/13) or  
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