Question
A and B can complete a task together in 22 days, while B
alone takes 44 days to finish it. A began working alone and left after βxβ days, after which B completed the remaining work in 33 days. Determine the percentage of the total work completed by A.Solution
Let total amount of work be 44 units
Efficiency of (A + B) = 44/22 = 2 units/day
Efficiency of βBβ = 44/44 = 1 unit/day
Amount of work done by βBβ = 33 Γ 1 = 33 units
Percentage of work done by βAβ = {(44 β 33)/44} Γ 100 = 25%
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