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?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 36 days.
Kapil and Prakash together can do a piece of work in 45 days
Prakash and Pihu together can do it in 60 days and,
Kapil and Pihu together can do it in 60 days
L.C.M(45, 60 and, 60) = 180
The efficiency of Kapil and Prakash = 180/45 = 4 units
The efficiency of Prakash and Pihu = 180/60 = 3 units
The efficiency of Kapil and Pihu = 180/60 = 3 units
So,
The efficiency of
2 × (Kapil, Prakash and Pihu) = (4 + 3 + 3) = 10 units
Kapil, Prakash and Pihu = 10/2 = 5 units
Time taken by Kapil, Prakash, and Pihu to complete the work = 180/5 = 36 days