Question

5 men or 8 women can reap a field in 12 days. Find the approximate number of
days taken by 3 men and 4 women to reap the same field
O 11
O 14
O 10
O 12​

Answer 1

Answer:

12 are the approximate and 10

Answer 2

Approximate number of days taken by 3 men and 4 women to reap the   field is 11 Days if 5 men or 8 women can reap a field in 12 days.

Given:

5 men or 8 women can reap a field in 12 days

To Find:

The approximate number of days taken by 3 men and 4 women to reap the same field

Solution:

Step 1:

8 women can reap a field in 12 days

=> 8 * 12 women can reap a field in 1 day

=> 96 women can reap a field in 1 day

=> 1 woman can reap field in 96 days

=> 1 woman can reap field in 1 day = 1/96

=> 4 women can reap field in 1 day = 4 * 1/96 = 1/24

Step 2:

5  men can reap a field in 12 days

=> 5 * 12  men can reap a field in 1 day

=> 60  men can reap a field in 1 day

=> 1  man can reap field in 60  days

=> 1 man can reap field in 1 day = 1/60

=> 3  men can reap field in 1 day = 3 * 1/60 = 1/20

Step 3:

3 men and 4 women Together can reap in 1 day

= 1/24  + 1/20

= (5 + 6)/120

= 11/120

Hence Time taken to reap field = 120/11 days  ≈ 10.91 Days ≈ 11 Days

correct choice is 11 days