Question
βXβ and βYβ together can complete a work in 10
days, while βYβ and βZβ together can complete the work in 8 days. If βYβ takes 12 days to complete the work alone then find the approximate time taken by all three together to complete 65% of work.Solution
Let the total work = 120 units Efficiency of (X + Y) = 120/10 = 12 units/day Efficiency of (Y + Z) = 120/8 = 15 units/day Efficiency of βYβ = 120/12 = 10 units/day Efficiency of (X + Y + Z) = (12 + 15 β 10) = 17 units/day Required time taken = (0.65 Γ 120)/17 = 5 days (approx)
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