Question
βAβ and βBβ can build a wall in 8 days and 12
days, respectively. If βAβ started building the wall alone but after 4 days he was replaced by βBβ, then find the total time taken to build the wall.Solution
Let total work be 24 units = LCM of (8 and 12)Efficiency of βAβ = 24/8 = 3 units/dayEfficiency of βBβ = 24/12 = 2 units/dayTotal work done by βAβ in 4 days = 4 Γ 3 = 12 unitsTime taken by βBβ to build rest of the wall = {(24 β 12)/2} = 6 daysTotal time taken = 6 + 4 = 10 days
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