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The ratio of the efficiencies of A, B and C is 3 : 5 : 1. Working together, they can complete a piece of work in 5 days. A and B
work together for 3 days. The remaining work will be completed by C alone in?
24 days
18 days
15 days
21 days
The ratio of the efficiencies of A, B and C is 3 : 5 : 1 Let the work done by A, B, C is 3 units, 5 units, 1 unit in 1 day respectively. Work done by A,B,C together in 1 day = 9 units Working together, A, B, C can complete a piece of work in 5 days. Total work = 9 x 5 = 45 units A and B work together for 3 days. Work done by A and B together in 3 days = (3+5) x 3 = 24 units Remaining work = 45 - 24 = 21 units Remaining work will be completed by C who can do 1 unit per day. Number of days required for C to complete remaining work = 21 days Hence, the correct answer is Option D
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