21 men can do a piece of work in 25 days working 10 hours a day then how many men are required to co...........

Quant (SSC) Time and work

21 men can do a piece of work in 25 days working 10 hours a day, then how many men are required to complete the work in 15 days by working 7 hours per day?

45 men

47 men

50 men

54 men

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Explanation:

To solve this quesiton, we can apply the chain rule method
M₁ × D₁ × H₁ = M₂ × D₂ × H₂
Given, M₁ = 21 men, D₁ = 25 days, H₁ = 10 hours
M₂ = ?, D₂ = 15 days, H₂ = 7 hours
M₂ = M₁ × D₁ × H₁/D₂ × H₂
= 21 × 25 × 10 / 15 x 7 = 50 men