Question
In how many days can ‘Q’ alone complete the
work? I. P, Q and R together can complete the work in 9`(3)/(13)` days. II. P and Q together can complete the work in 10 days, Q and R together the work together in 20 days, and P and R together can complete the work in 15 days. Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer –Solution
From I. (P + Q + R) can do the work in 93/13 days. Hence, from I alone we cannot get the answer. From II. (P + Q)’s one day work = 1/10 part of the work……… (i) (Q + R)’s one day work = 1/20 part of the work……….. (ii) (P + R)’s one day work = 1/15 part of the work………… (iii) ∴ 2(P + Q + R)’s one day work = 1/10 + 1/20 +1/15 = 13/60 ∴ (P + Q + R)’s one day work = 13/120………….. (iv) By subtracting (iii) by (iv), we get Q’s one day work. ∴ Q’s one day work = 13/120 - 1/15 = 5/120 = 1/24 Hence, from II alone we can get the answer.
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