Question

2 women and 5men can togetheir complete an embroidery work in 4 days , while 3 women and 6 men can finish it in 3days.Find the time taken by 1 woman alone to finish the work and also that taken by 1 man alone.

Answer 1

2m+5w=1/4
8m+20w=1
3m+6w=1/3
9m+18w=1
equating both
8m+20w=9m+18w
9m-8m=20w-18w
m=2w
8m+20w=1
8m+20(m/2)=1
8m+10m=1
18m=1
m=1/18
men takes 18 days