A project can be completed by 2 men and 5 women in 8 days while 4 men and 6 women can complete the same project in 5 days. How many men will be required to complete this project in 4 days?
Answer & explanation
Correct answer: option 1
2M + 5W = 8 days,
16M + 40W ..(1) (Multiplied by 8 to get it done in 1 day)
4M + 6W = 5 days,
20M + 30W ..(2) (Multiplied by 5 to get it done in 1 day)
Now, (1) - (2), we get
⇒ 4M = 10W
⇒ M : W = 10 : 4 = 5 : 2 (Efficiencies)
Putting efficiency in equation (1), and we get the total work
⇒ [16 (5) + 40 (2)] = 160 units.
⇒ No. of men needed to complete total work in 4 days = \(\frac{160}{M(5)}\) = 4 days
⇒ 5M = 40
⇒ M = 8,
Therefore 8 men are needed to complete the work in 4 days.