Question

A 10 hectare field is reaped by 2 men, 3 women and 4 children together in 10 days. If working capabilities of a man, a woman and a child are in the ratio 5 : 4 : 2, then a 16 hectare field will be reaped by 6 men, 4 women and 7 children in : 

(a) 5 days 

(b) 6 days 

(c) 7 days 

(d) 8 days

Answer 1

Correct option (d) 8 days

Explanation:

According to question, efficiency of a man, a woman and a child are 5 : 4 : 2. Units/days. 

One day work of 2 men = 2×5 = 10 units 

One day work of 3 women = 3×4 = 12 units 

One day work of 4 children = 4×2 = 8 units. 

Applying formula, let time taken is ‘D’ days.