Question

2 men and 7 women complete a certain piece of work in 4 days. 4 men and 4 women complete the same in 3 days. Find the number of days required by 1 man 1 woman to complete th job.​

Answer 1

Answer:

let the 1 man finish the x work in 1 day

let that 1 woman finish the y work in 1day

2x + 7y= 1/4........... 1

4x + 4y = 1/3....... ....2

Multiply equation 1 by 2

4x + 14y= 1/2

4x +4y = 1/3

subtract

10y = 1/6

y = 1/60

put y =1/60 in equation.... 1

2x =1/4 - 7/60

2x = 8/60

x= 8/120 or 1/15

x + y =1/15 + 1/60

x+y = 5/60

x+y =1/12

total time to complete the job = 12days