Question

A partucular work can be completed by 6 men and 6 women in 24 days.whereas the same work can be completed by 8 men and 12 women in 15 days. find
(i)according to the amount of work done one man is equivalentbto how many women
(ii)the time taken by 4 men and 6 women to complete the same work​

Answer 1

Answer:

30 days

Step-by-step explanation:

6 men + 6 women can finish the work in = 24 days

144 men + 144 women can finish it in = 1 day

8 m + 12 women can finish the work in = 15 days

120 men + 180 women can finish it in = 1 day

(i) 144 men + 144 women = 120 men + 180 women

=> 144 men – 120 men

= 180 – women – 144 women

=> 24 men = 36 women

1 man =

= 3/2 women

= 1. ½ women

(ii) In first case,

6 ×(3/2) + 6 = 9 + 6

= 15 women

In second case,

4 × (3/2) + 6

= 6 + 6

= 12 women

Now, 15 women can do a piece of work in = 24 days

1 women will do it in = 24 × 15 days

And 12 women will do it in

= (24 × 15)/12

= 30 days