Question

If there are 4 more men in the workforce, they will take 8 days less to complete a job. instead, if there are 8 men more in it, they will take 12 days less to complete it. What is the ratio of the number of men and the time they take (in days) to complete it?
1. 3 : 1
2. 1 : 3
3. 1 : 5
4. 5 : 1

Answer 1

Correct Answer - Option 2 : 1 : 3

Given:

By four more men work will complete in 8 days before.

Calculation:

Let the number of men be x and the number of days they take to complete the job be y.

⇒ (x + 4) × (y - 8) = xy 

⇒ 4y - 8x = 32 .... (1)

⇒ (x + 8) × (y - 12) = xy

⇒ 8y - 12x = 96 .... (2)

Solving the equation (1) and (2)

⇒ x = 8, y = 24, now ratio become = 8 : 24 = 1 : 3

∴ The required result will be 1 : 3.