Question

2 men and 5 women can do a peice of work in 4 days, while 1 man and 1 woman can finish it in 12 days.how long it would take 1 man to do the work

Answer 1

Step-by-step explanation:

Let x represents man and y represents woman.

2x+5y=4days......(1)2x+5y=4days......(1)

1x+1y=12days1x+1y=12days

5x+5y=\frac{12}{5}days=2.4days.......(2)5x+5y=

5

12

days=2.4days.......(2)

By subtracting equation (1) from equation (2)

3x=\frac{2.4\times4}{4-2.4}3x=

4−2.4

2.4×4

3x=\frac{9.6}{1.6}3x=

1.6

9.6

3x=63x=6

Since 3 men can do the same work in 6 days.

Therefore, 1 man can do = 6 × 3 = 18 days

1 man can do the same work in 18 days.

byyyyy prince Kumar Prem