Question
A, B, and C together can complete the assignment in 8 days. B and C together take (48/5) days, and C alone completes half in 8 days. Find the ratio of the efficiency of A to
B.
Solution
1/A + 1/B + 1/C = 1/8 C alone complete the whole work = 8 × 2 = 16 days B and C together = (48/5) days ⇒ rate = 5/48 1/A = 1/8 – 5/48 = (6 – 5)/48 = 1/48 1/B = 5/48 – 1/16 = (5 – 3)/48 = 2/48 = 1/24 A alone complete the work = 48 days B alone complete the work = 24 days Required ratio = (1/48) : (1/24) = 1 : 2
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