24 men can do a work in x days and 32 women can do the same work in (x+8)days.the ratio of work done by 15 men and 12 women in the same time is 3:1,find value of x?

( ans 10) ?

each man does 1/(24x) in a day

each woman does 1/(32(x+8)) in a day

so,

15/(24x)
------------ = 3/1
12/(32(x+8))

yes, x=10