Question

8 men or 12 women can do a job in 25 days. In what time can 6 men and 11 women do it? ​

Answer 1

Answer:

In 15 days, 6 men and 11 women can do the work.

Solution:

Step 1.

8 men can do the work in 25 days

1 man can do the work in (8 * 25) = 200 days

6 men can do the work in 200/6 days

Step 2.

12 women can do the work in 25 days

1 woman can do the work in (12 * 25) = 300 days

11 women can do the work in 300/11 days

Step 3.

Therefore the time required to complete the work by 6 men and 11 women is

= 1/{1/(200/6) + 1/(300/11)}

= 1/(6/200 + 11/300)

= 1/{(18 + 22)/600}

= 600/40

= 15 days