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If 12 persons working 12 hours a day dig 12 meters of a tunnel in 12 days how many men are required to dig additional 4 meter of the tunnel (of the same dimension) given that they work 4 hours a day for 4 day?

If 12 persons working 12 hours a day dig 12 meters of a tunnel in 12 days how many men are required to dig additional 4 meter of the tunnel (of the same dimension) given that they work 4 hours a day for 4 day? Correct Answer 36

Given:

12 persons working 12 hours a day dig 12 meters of a tunnel in 12 days 

Formula Used:

Man – day formula

(m1× d1× h1)/w1 = (m2 × d2 × h2)/w2

Where m1, m2 is number of persons working

d1, d2 is number of days taken

h1, h2 is number of hours

w1, w2 is the units of work done 

Calculation:

Let the number of men required be x

(12 × 12 × 12)/12 = (x × 4 × 4)/4

⇒ x = 36 

∴ Number of men required be 36

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