Question

120 men consume 720 kg of rice in 30 days. In how many days can 90 men consume 270 kg?
1. 18
2. 12
3. 9
4. 15

Answer 1

Correct Answer - Option 4 : 15

Given:

120 men consume 720 kg of rice in 30 days.

Formula Used:

(M1 × D1 × H1)/W₁ = (M2 × D2 × H2)/W₂

Where,

M1 → Initial Men,

D1 → Initial day

H1 → Initial hour

W₁ → Work by initial men

M2 → Final men

D2 → Final day

H2 → Final hour

W₂ → Work by final men

Calculation:

(M1 × D1 × H1)/W1 = (M2 × D2 × H2)/W2         (Working hours are same)

⇒ (120 × 30)/720 = (90 × D2)/270

⇒ (120 × 30 × 270)/(720 × 90)= D2

⇒ D2 = 15

∴ In 15 days can 90 men consume 270 kg.