3 men and 5 womentogether can complete a work in 6 days whereas 4 men and 9 womentogether can doit i...........

Quantitative Aptitude (CPO) Time and work

3 men and 5 womentogether can complete a work in 6 days, whereas 4 men and 9 womentogether can doit in 4 days. How many

womenare required to do the same work in 7 days?

This questions was previously asked in

SSC CPO 13th Dec 2019 Shift-1

Let’s break it down:

- 3 men + 5 women finish the job in 6 days. That’s: (3M + 5W) × 6 = 1 job

- 4 men + 9 women finish in 4 days: (4M + 9W) × 4 = 1 job

- Set up the math:

- 18M + 30W = 1 job

- 16M + 36W = 1 job

- Subtract first from second: (-2M + 6W) = 0 ? 2M = 6W ? M = 3W

- Plug M = 3W into one equation:

- 3(3W) + 5W = 9W + 5W = 14W. 14W × 6 = 84W = 1 job

- So, 1 woman's 1 day work = 1/84

- Women needed to finish in 7 days: 7 × W × (1/84) = 1 ? 7W = 84 ? W = 12

So, the correct answer is Option:2, 12.

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