Discussion of Question with ID = 065 under Time-and-Work

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Question

If 30 men can do a task in 54 days if they work 12 hours per day, how many men are required to complete the task in 10 days if they work 9 hours?

A

216.

B

217.

C

215.

D

219.

Soln.
Ans: a

If m1 men can do a task in d1 days by working h1 hours per day, and m2 in d2 days by working h2 hours per day, then we must have m1 × d1 × h1 = m2 × d2 × h2. Putting m1 = 30, d1 = 54, h1 = 12, d2 = 10, and h2 = 9 we get m2 = 216.

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