Question

40 men are hired to make 1000 PPE kits in 30 days, but after 20 days they found out that they could only complete 400 clothes. How many more men are needed so that they can complete their work on time?

1. 60 men
2. 70 men
3. 100 men
4. 80 men

Answer 1

Correct Answer - Option 4 : 80 men

Given:

M₁ = 40

W₁ = 400

D₁ = 20 days

Formula used:

(M₁ × D₁)/W₁ = (M₂ × D₂)/W₂

Where, M represents number of men, D represents number of days, and W represents the work (Number of PPE kits made)

Calculation:

Let number of extra men needed be x

M₂ = 40 + x

W₂ = 1000 – 400 = 600

(M₁ × D₁)/W₁ = (M₂ × D₂)/W₂

⇒ (40 × 20)/400 = (M₂ × 10)/600

⇒ 800/400 = (40 + x)/60

⇒ 40 + x = 120

⇒ x = 12 – 40 = 80

∴ 80 extra men are needed to complete the work on time.