Question
A and B can complete a task together in 30 days, while B
alone takes 60 days to finish it. A began working alone and left after βxβ days, after which B completed the remaining work in 45 days. Determine the percentage of the total work completed by A.Solution
Let total amount of work be 60 unitsEfficiency of (A + B) = 60/30 = 2 units/dayEfficiency of βBβ = 60/60 = 1 unit/dayAmount of work done by βBβ = 45 Γ 1 = 45 unitsPercentage of work done by βAβ = {(60 β 45)/60} Γ 100 = 25%
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