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?

Question

Question

This question was previously asked in

SSC GD Constable (2022) Official Paper (Held On : 12 Jan 2023 Shift 2)

Answer 1

Given:

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.