If ‘X’ men can do a work in 8 days and “X+4” men can do it in 6 days , what is the value of “X”?

If ‘X’ men can do a work in 8 days and “X+4” men can do it in 6 days , what is the value of “X”?

A 4

B 6

C 8

D 12

Solution

Correct Answer: Option D

X men can do the work in 8 days

1 man can do the work in 8*x days

Again,

X+4 men can do the work in 6 days

1 man can do the work in 6*(X+4) days.

Now, A/Q,

8X = 6*(X+4)

Or, 8X = 6X+24

Or, 8X-6X=24

Or, 2X= 24

Or, X= 12