Question

X men can do a work in 120 days. If there were 20 men less, the work would have taken 60 days more. What is the value of x?

Answer 1

Step-by-step explanation:

X men can do the work in 120 days then the 20 less can work would have taken 60 days at the valueof x

Answer 2

Given: X men can do a work in 120 days. If there were 20 men less, the work would have taken 60 days more.  

To find: The value of x.

Solution:

According to the question, the number of men is x and the time taken for them to do the work is 120 days. If there were 20 lesser men, the number of men could be written as follows.

$men = x-20$

If the number of days taken was 60 more, the total number of days taken would be

$days = 120+60$

        $=180$

Thus, x men can do work in 120 days and (x-20) men can do the work in 180 days. This can be written in the form of an equation as shown below.

$\frac{x}{120} = \frac{x-20}{180}$

$180x = 120x - 2400$

$x = 40$

Therefore, the value of x is 40.