Question
Ankit and Priya together can complete a piece of work in
200 days and 10 minutes, while Priya and Vikas together can complete the same work in 130 days and 7.5 minutes. If the efficiency of Vikas is 59.98% less than that of Priya, then find the approximate time taken by all three of them to complete 80% of the work together.Solution
ATQ Let the efficiency of Priya be '2a' units/day. So, the efficiency of Vikas = 0.40 Ă— 2a = '0.8a' units/day. So, total work = (2a + 0.8a) Ă— 130 = '364a' units. So, combined efficiency of Ankit and Priya = (364a/200) = '1.82a' units/day. Therefore, required time = [(364a Ă— 0.8) Ă· (2a + 0.8a)] = 91 days.
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