Question

If 50 men can do a certain job in 8 days, working 16 hours per day. In how many part of that work which can be completed by 40 men in 20 days, working 4 hours per day?

1. 1/2
2. 1/3
3. 2/3
4. 1/5

Answer 1

Correct Answer - Option 1 : 1/2

Given:

Men₁  = 50, Days1 = 8 days, Hours1 = 16 hours, 

Men₂ = 40, Days₂ = 20 days, Hours₂ = 4  hours,

Formula used:

M₁D₁H₁/W₁ = M₂D₂H₂/W₂

Where,

M₁ = Men = 50, D₁ = Days1 = 8 days, H₁ = Hours1 = 16 hours, 

M₂ = Men2 = 40, D₂ = Days2 = 20 days, H₂ = Hours2 = 4  hours,

W₁ = Work , W₂ = Work

Calculation:

Let the part of that work which can be completed by 40 men in 20 days, working 4 hours per day be x

M1D1H1/W = M2D2H2/W

⇒ (50 × 8 × 16)/1 = (40 × 20 × 4)/x

⇒ x = 1/2

∴ 1/2 part of that work can be completed