Question

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

Answer 1

Answer:

no. of persons is inversely proportional to no. of days .

let total work = 1 units

(1W + 6M)'s 1 days' work = 1/4 units --(1)

Step-by-step explanation:

(3W + 6M)'s 1 days' work = 1/3 units

2W = 1/3 - 1/4= 1/12

1W = 1/24

1 women alone can finish the work in 24 days .

from(1) 6M = 1/4 - 1/24

6M = 5/24 => 1 M = 5/144

1 man alone can finish the work in

144/5 = 28.8 days