Ravi can do a piece of work in 40 days and Sudha can do the same piece of work in 60 days If they wo...........

Quantitative Aptitude (CGL) Time and work

Ravi can do a piece of work in 40 days and Sudha can do the same piece of work in 60 days. If they work on alternative days starting with Sudha on the first day, then in how many days will the work be completed?

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Combined Graduate level Examination 2023 Tier I

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Explanation:

- Sudha finishes her work in 60 days, so she completes 1/60 of the work in a day.

- Ravi finishes his work in 40 days, so he completes 1/40 of the work in a day.

- Over two days (Sudha on the first day, Ravi on the second day), they complete \( \frac{1}{60} + \frac{1}{40} = \frac{1}{24} \) of the work.

- Therefore, in 24 days, they complete 1 full unit of work.

- Since they complete the work in portions equivalent to a full task every 24 days, this means they will complete the entire work in Option: 3, 48 days when this cycle is repeated twice.

- They will complete full cycles without any remainder work left.