#### Question

The work done by (x – 2) men in (4x + 1) days and the work done by (4x + 1) men in (2x – 3) days are in the ratio 3: 8. Find the value of x.

#### Solution

Assuming that all the men do the same amount of work in one day and one day work of each man = 1 units, we have,

Amount of work done by (x – 2) men in (4x + 1) days

= Amount of work done by (x – 2)(4x + 1) men in one day

= (x – 2)(4x + 1) units of work

Similarly,

Amount of work done by (4x + 1) men in (2x – 3) days

= (4x + 1)(2x – 3) units of work

According to the given information,\

`((x - 2)(4x + 1))/((4x + 1)(2x - 3)) = 3/8`

`(x - 2)/(2x - 3) = 3/8`

8x - 16 = 6x - 9

2x = 7

x = 7/2 = 3..5

Is there an error in this question or solution?

Solution The Work Done by (X – 2) Men in (4x + 1) Days and the Work Done by (4x + 1) Men in (2x – 3) Days Are in the Ratio 3: 8. Find the Value of X. Concept: Ratios.