1.  3 men can do a piece of work in 6 days. 5 women can do the same work in 18 days. If 4 men and 10 women work together, then how long will it take to finish the work ?

A. 3 days
B. 5 days
C. 2 days
D. 4 days
E. None of the above

Answer: Option A

Explanation:

(3 x 6) men = (5 x 18) women

18 men = 90 women

∴ 1 man = 5 women

∴ 4 men + 10 women

= 4 x 5 + 10 = 30 women

Given, M1 = 5, M2 = 20, D1 = 18 ,

W1 = W2 = 1 and D2 = ?

According to the formula, M1D1W2 = M2D2W1

⇒ 5 x 18 x 1 = 30 x D2 x 1

∴ D2 = 5 x 18/30 = 3 days