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Panu, Jiban, and Jalil can complete a certain task individually in 30, 20 and 60 days, respectively. Jiban started work on the task and Panu and Jalil agreed to help Jiban every third day. How many days will it take to complete the task?

Panu, Jiban, and Jalil can complete a certain task individually in 30, 20 and 60 days, respectively. Jiban started work on the task and Panu and Jalil agreed to help Jiban every third day. How many days will it take to complete the task? Correct Answer 15

Panu alone can complete the work in = 30 days

Jiban alone can complete the work in = 20 days

Jalil alone can complete the work in = 60 days

As we know, Efficiency is inversely proportional to time, so

Efficiency ratio of Panu, Jiban and Jalil = 1/30 : 1/20 : 1/60 = 2 : 3 : 1

∴ Total work = 2 × 30 = 60 (Panu's efficiency x total time taken by him to complete the work)

First two day’s work of Jiban = 2 × 3 = 6

Third day’s work of Panu, Jiban and Jalil = 2 + 3 + 1 = 6

Total work completed in three days by these three people = 6 + 6 = 12

12 units of work completed in = 3 days

∴ 60 units of work (Total Work) will be completed in = 3 × 5 = 15 days.

Thus, the correct answer is option 4.

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