Question

When 5 men can build a wall in 12 days, to build a wall 50% more than the original wall in 10 days, the number of men required is:
1. 7
2. 4
3. 9
4. 8

Answer 1

Correct Answer - Option 3 : 9

Given:

Time taken by 5 men to build a wall = 12 days 

Formula used:

(M₁ × D₁)/W₁ = (M₂ × D₂)/ W₂

Calculation:

Let the work size of the wall = 100 

⇒ The size of the wall 50% more than the original wall = 100 × 150/100 = 150

Let the men required to build the 50% more than the original wall = a 

(5 × 12)/100 = (a × 10)/150

⇒ 60/100 = 10a/150 

⇒ 3/5 = a/15

⇒ 3/1 = a/3 

⇒ a = 9 

∴ The required no of men = 9