Question
A can complete a piece of work in 21 days. A starts the
work alone. After 9 days, B joins A, and together they complete the remaining work in 5 days. Find the ratio of their efficiencies.Solution
ATQ, A rate = 1/21 A work in 9 days = 9/21 = 3/7 Remaining work = 1 - 3/7 = 4/7 (A + B) rate = (4/7) / 5 = 4/35 B rate = 4/35 - 1/21 = 1/15 Efficiency ratio (A : B) = (1/21) : (1/15) = 15 : 21 = 5 : 7
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