Question
A work can be completed by โAโ and โBโ, alone in
15 days and 10 days, respectively. Find the number of days taken by โCโ to complete the same work alone if โAโ, โBโ and โCโ together can complete the whole work in 4 days.Solution
Let total work = 30 units (LCM of 15 and 10) Efficiency of โAโ = (30/15) = 2 units/day Efficiency of โBโ = (30/10) = 3 units/day Combined efficiency of โAโ, โBโ and โCโ = (30/4) = 7.5 units/day Efficiency of โCโ = 7.5 โ (2 + 3) = 2.5 units/day Required time taken = (30/2.5) = 12 days
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