Question
‘A’ and ‘B’ together can
complete a work in 16 days, while ‘B’ and ‘C’ together can complete the work in 12 days. If ‘B’ takes 20 days to complete the work alone then find the time taken by all three together to complete 57.5% of work.Solution
Let the total work = 240 units
Efficiency of (A + B) = 240/16 = 15 units/day
Efficiency of (B + C) = 240/12 = 20 units/day
Efficiency of ‘B’ = 240/20 = 12 units/day
Efficiency of (A + B + C) = (15 + 20 – 12) = 23 units/day
Required time taken = (0.575 × 240)/23 = 6 days
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