Question

3 men and 7 women can do a job in 5 days, while 4 men and 6 women can do it in 4 days, the number of days required for a group of 10 women working together, at the same rate as before, to finish the same job is : 

(a) 30 days 

(b) 36 days 

(c) 40 days 

(d) 20 days

Answer 1

Correct option (d) 20 days

Explanation:

(3 men + 7 women)× 5 days 

= (4 men + 6 women)× 4 days 

1 men = 11 women 

3 men + 7 women 

= (3×11)women + 7 women = 40 women 

40 women can do a work in 5 days 

1 can do a work in 5 × 40 days

10 women can do a work in 5 x 40/10 = 20 days