Question

13. 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.​

Answer 1

Answer:

Step-by-step explanation:

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)

x-2/2x-3 = 3/8

8x-16 = 6x-9

2x = 7

x = 7/2 = 3.5