Question

If 4 men and 5 women can do a piece of work in 50 days where as 7 men and 13
women can do the same piece of work in 28 days, how long will 10 men and 6
women take to do the same piece of work?

please help me to do this sum..

Its very urgent..​

Answer 1

Answer:

20.4

Step-by-step explanation:

(4M + 5W )×50/1 = (7M + 13W)×28/1

(4M + 5W)25 = (7M + 13W)×14

2M = 57W => M/W = 57/ 2

total work

=[ 4(57) + 5(2)] ×50 = 11900 units

(10M + 6W)'s 1 days' work

= 10(57) + 6(2) = 582 units

so (10M + 6W) can do the same work in

= 11900/582 = 20.4 days