‘X’ and ‘Y’ together can complete a work in 10 days, while ‘Y’ and ‘Z’ together can complete the work in 15 days. If ‘Y’ takes 12 days to complete the work alone then find the approximate time taken by all three together to complete 57.5% of work.

Let the total work = 60 units

Efficiency of (X + Y) = 60/10 = 6 units/day

Efficiency of (Y + Z) = 60/15 = 4 units/day

Efficiency of ‘Y’ = 60/12 = 5 units/day

Efficiency of (X + Y + Z) = (6 + 4 – 5) = 5 units/day

Required time taken = (0.575 × 60)/5 = 7 days (approx)

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