Question
Puneet and Qureshi together can complete (7/8)th of a
piece of work in 9 days, Qureshi and Rohit together can complete (3/5)th of the work in 8 days and Puneet and Rohit together can complete (4/5)th of the work in 9 days. In how many days can Puneet alone do the work?Solution
ATQ, Let p, q and r be the respective part of the works that can be done by Puneet, Qureshi and Rohit in one day. Given that, p + q = [(7/8) × (1/9)] = 7/72 q + r = [(3/5) × (1/8)] = 3/40 p + r = [(4/5) × (1/9)] = 4/45 Therefore, 2(p+q+r) = (7/72) + (3/40) + (4/45) = 94/360 p + q + r = 47/360 p = (47/360) - (3/40) = 20/360 = 1/18 Therefore, P alone will take 18 days to complete the work.
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