Correct Answer - Option 2 : 40 men
Given:
Number of days taken by 100 men to make 60 chairs working 2 hours a day = 4 days
Chairs to be made in 10 days working 4 hours a day = 120
Formula used:
(M1 × D1 × H1)/W1 = (M2 × D2 × H2)/W2
Where, M1, M2 = Number of men D1, D2 = Number of days, H1, H2 = Number of hours, W1, W2 = Work Done
We will use only the terms that are given in the question
Calculation:
According to the question,
M1 = 100, D1 = 4 days, H1 = 2 hours and W1 = 60 chairs
D2 = 10 days, H2 = 4 hours and W2 = 120 chairs
(M1 × D1 × H1)/W1 = (M2 × D2 × H2)/W2
⇒ (100 × 4 × 2)/60 = (M2 × 10 × 4)/120
⇒ 100 × 8 × 120 = M2 × 40 × 60
⇒ M2 = 40
∴ 40 men are required to make 120 chairs in 10 days working 4 hours a day.
