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Kapil and Prakash together can do a piece of work in 45 days. Prakash and Pihu together can do it in 60 days. Kapil and Pihu together can do it in 60
Question

Kapil and Prakash together can do a piece of work in 45 days. Prakash and Pihu together can do it in 60 days. Kapil and Pihu together can do it in 60 days. In how many days will Kapil, Prakash and Pihu finish it together?

A.

42 days

B.

38 days

C.

36 days

D.

34 days

Correct option is C

Total work = LCM (45, 60, 60) = 180 units
Efficiency of Kapil and Prakash = 180/45 = 4
Efficiency of Prakash and Pihu = 180/60 = 3
Efficiency of Pihu and Kapil = 180/60 = 3
Total efficiency of Kapil, Prakash and Pihu = (4 + 3 + 3)/2 = 5
Days taken by Kapil, Prakash and Pihu to complete the work = 180/5
=> 36 days

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