Question
βAβ alone can do some work in 25 days. βBβ and
βCβ together can do the same work in 10 days. If βBβ is half as efficient as βAβ, then find the time taken by βCβ to complete the work alone.Solution
Let the total work be 50 units. {LCM (25 and 10)} So, efficiency of βAβ = (50/25) = 2 units/day So, efficiency of βBβ = (2 x 0.5) = 1 unit/day Efficiency of βBβ and βCβ together = (50/10) = 5 units/day So, efficiency of βCβ = 5 β 1 = 4 units/day So, time taken by βCβ to finish the work alone = (50/4) = 12.5 days
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