Question
Download Solution PDFKapil 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?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Kapil and Prakash together can do the work in 45 days.
Prakash and Pihu together can do it in 60 days.
Kapil and Pihu together can do it in 60 days.
Concept:
Total work = Time × Efficiency
Calculation:
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
Therefore, Kapil, Prakash and Pihu together will finish the work in 36 days.
Last updated on Jul 7, 2025
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