Please submit your concern

Explanation:

Let the efficiency of each man and woman is m and w respectivley.

∴ Work done by 3 men and 7 women in 10 days = work done by 4 men and 6 women in 8 days = work done by 10 women in say 'd' days.  

⇒ (3m + 7w) × 10 = (4m + 6w) × 8 = 10w × d

Solving first two expressions, we get
⇒ (3m + 7w) × 10 = (4m + 6w) × 8
⇒ 11w = m 

Now, equating the last two expressions, we get
⇒ (4m + 6w) × 8 = 10w × d
⇒ (44w + 6w) × 8 = 10w × d
⇒ 400w = 10w × d
⇒ d = 40 days

Hence, option (d).

Subscribe to our Newsletter

© 2022 | All Rights Reserved | Apti4All