Question
‘X’ and ‘Y’ together can complete a work in 12
days, while ‘Y’ and ‘Z’ together can complete the work in 10 days. If ‘Y’ takes 10 days to complete the work alone then find the time taken by all three together to complete 50% of work.Solution
Let the total work = 60 units Efficiency of (X + Y) = 60/12 = 5 units/day Efficiency of (Y + Z) = 60/10 = 6 units/day Efficiency of ‘Y’ = 60/10 = 6 units/day Efficiency of (X + Y + Z) = (5 + 6 – 6) = 5 units/day Required time taken = (0.50 × 60)/5 = 6 days
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