Question
A work can be completed by ‘A’ and ‘B’, alone in
15 days and 10 days, respectively. Find the number of days taken by ‘C’ to complete the same work alone if ‘A’, ‘B’ and ‘C’ together can complete the whole work in 4 days.Solution
Let total work = 30 units (LCM of 15 and 10) Efficiency of ‘A’ = (30/15) = 2 units/day Efficiency of ‘B’ = (30/10) = 3 units/day Combined efficiency of ‘A’, ‘B’ and ‘C’ = (30/4) = 7.5 units/day Efficiency of ‘C’ = 7.5 – (2 + 3) = 2.5 units/day Required time taken = (30/2.5) = 12 days
A is the son-in-law of B, whose son is D. D is the brother of C, whose only daughter is E. How is C related to A?
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