Multiple Choice Questions

If 4 men and 6 boys can do a work in 8 days and 6 men and 4 boys can do the same work in 7 days then...........

Quantitative Aptitude (CGL) Time and work

If 4 men and 6 boys can do a work in 8 days and 6 men and 4 boys can do the same work in 7 days, then how many days will 5

men and 4 boys take to do the same work?

This questions was previously asked in

SSC CGL 13th April 2022 Shift-1

To solve this, let's break it down step by step:

- Equation Formation:

- 4 men and 6 boys complete a task in 8 days.

- 6 men and 4 boys complete the same task in 7 days.

- Express Work Rates:

- Work rate of men = M

- Work rate of boys = B

- From the equations:

- $8 (4 M + 6 B) = 1$ (total work)

- $7 (6 M + 4 B) = 1$ (total work)

- Solve Simultaneously:

- Simplify and solve for M and B using substitution or elimination to find individual rates

- Calculate for 5 Men and 4 Boys:

- Combine these rates and equate them to 1 to find the required days.

The calculations give the required number of days as 6.

Therefore, the correct answer is:

- Option 3: 6 days

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