24 women and 9 men can complete a certain piece of work in 18 days Each women takes twice the amount...........

Quantitative Aptitude (MTS) Time and work

24 women and 9 men can complete a certain piece of work in 18 days. Each women takes twice the amount of time taken by a

man to finish the work. In how many days can only 9 men finish the same work?

This questions was previously asked in

SSC MTS 11th July 2022 Shift-1

- First, let's understand the work capability: 24 women and 9 men complete the work in 18 days.

- Given: Each woman takes twice the time of a man to finish the work. So, a man's rate of work is twice that of a woman.

- If ‘M’ is one man's one day work, then ‘W’ is the one day work of a woman. So, W = 0.5M.

- Combine rates: 24 women + 9 men = 24(0.5M) + 9M = 12M + 9M = 21M.

- Total work = 21M x 18 = 378M.

- 9 men will do 9M per day.

- Days needed = Total Work / 9 men's work per day = 378M / 9M = 42 days.

- Answer is Option 2: 42 days.

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