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Rohan is thrice as good as a workman as Rahul and therefore is able to finish a job in 60 days less than Rahul. Working together, they can do it in how many days?
1. 45 days
2. 55/2 days
3. 45/2 days
4. 55 days

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Correct Answer - Option 3 : 45/2 days

Given:

Rohan is thrice as good as a workman as Rahul

Rohan finish a job = 60 days less than Rahul

Calculation:

The ratio of times taken by Rohan and Rahul = 1 : 3

∴ the time difference is (3 - 1) 2 days while Rahul takes 3 days and Rohan takes 1 day.

If the difference of time is 2 days, Rahul takes 3 days

If the difference of time is 60 days, Rahul takes (3/2 × 60)

⇒ 90 days

∴ Rohan takes 30 days to do the work.

Rohan’s 1 day’s work = 1/30

Rahul’s 1 day’s work = 1/90

∴ (Rohan + Rahul)’s 1 day’s work = 1/30 + 1/90

⇒ 4/90

⇒ 2/45

Rahul and Rohan together can do the work in 45/2 days.

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