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P can do some work in 4 hours. Q and R together can finish it in 3 hours while P and R can doit in 2 hours. How long will Q take to complete it, if he
Question

P can do some work in 4 hours. Q and R together can finish it in 3 hours while P and R can doit in 2 hours. How long will Q take to complete it, if he works alone?

A.

8 hours

B.

10 hours

C.

12 hours

D.

15 hours

Correct option is C


Work done by p in one hour = 1/4
Work done by Q and R in one hour = 1/3
Work done by P and R in one hour = 1/2
Work done by R in one hour = 1/2- 1/4= 1/4
Work done by Q in one hour = 1/3- 1/4= 1/12
Therefore, time taken by Q to complete the work = 12 hours.

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