Question

4 men and 3 women finish a job in 6 days, and 5 men and 7 women can do the same job in days.how long will 1 man 1 woman take to do the work?

Answer 1

This question is based on Efficiency concept.

Since (4men+3women)*6 days= (5men + 7women)*4days

24men days + 18 women days = 20 men days + 28 women days

→ 4 men days= 10 women days

→ 1 men days = 2.5 women days

Total work = 24men days + 18 women days = 20 men days + 28 women days

= 78 women days

Hence, 1 man + 1 women =2.5 women + 1 women = 3.5 women can do it in 78/3.5 = 156/7 = 22 (2/7) days

Answer 2

Answer:

4 men +3 women)×6 days=(5 men +7 women)×4 days

24 men +18 women=20 men +28 women

4 men days =10 women days

1 men days =2.5 women days

Total work =24 men days +18 women days

=20 men days +28 women days

=78 women days

1 man +1 women =2.5 women +1 women

=3.5

women can do

3.5

78

=22(

7

2

) days