Question
βAβ and βBβ can do a piece of work in 18 days
and 25 days, respectively. They started working together but βAβ left after 9 days. Find the time taken by βBβ to complete the remaining work.Solution
Let total amount of work be 450 units (LCM of 18 and 25). Efficiency of βAβ = 450/18 = 25 units/day Efficiency of βBβ = 450/25 = 18 units/day Amount of work done by βAβ and βBβ together in 9 days = (25 + 18) Γ 9 = 387 units Time taken by B to complete remaining work = {(450 β 387)/18} = 3.5 days
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