Question
βAβ alone can complete a work in 50 hours. βAβ
started the work alone and left after working on it for 30 hours. If βBβ completed the rest of the work in 20 hours then find the time taken by βAβ and βBβ together to complete the whole work.Solution
Let the total work = 200 units Then, efficiency of βAβ = (200/50) = 4 units/hour Work completed by βAβ alone in 30 hours = 4 Γ 30 = 120 units Remaining work = 200 β 120 = 80 units So, efficiency of βBβ = 80/20 = 4 units/hour Therefore, combined efficiency of βAβ and βBβ = 4 + 4 = 8 units/hour So, time taken by βAβ and βBβ together to complete the work = (200/8) = 25 hours
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