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P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it in?

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25
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25 days
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Expert in MS Excel

25 days
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25day
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Trainer

1/P+1/Q = 1/10 and R=1/50. Therefore, P=100/6 and Q = 25. Q alone can finish the work in 25 days.
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25
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Banking, SSC, CSAT classes

25 Days
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Brain Trainer

Given 1/P=1/Q+1/R and 1/P+1/Q = 1/10 and 1/R=1/50. Therefore, 1/Q+1/R+1/Q = 1/10 ---> 2/Q = 1/10-1/50=4/50=2/25. So, Q=25 Days
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aptitude trainer

Let assume time taken by P,Q and R is p ,q and r respectively. Efficiency 1/p,1/q and 1/r respectively. 1/p + 1/q = 1/10-------1 1/p = 1/q + 1/50 1/p - 1/q = 1/50 -------2 from 1 and 2 2/p = 6/50 now 3/50 + 1/q = 1/10 => 1/q = 1/10 - 3/50 = 2/50 = 1/25 q = 25.
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