Forty-five (45) men can do a job in 16 days. Six days after they started working, 30 more men joined them. How many days will they now take to complete the remaining work?

A5.5 days

B7 days

C5 days

D6 days ✓ Correct

Correct answer: (D) 6 days

Explanation

The remaining work takes 6 more days.

Total work = 45 x 16 = 720 man-days.

In the first 6 days, 45 x 6 = 270 man-days are done.

Remaining work = 720 - 270 = 450 man-days, now with 45 + 30 = 75 men.

Days = 450 / 75 = 6.

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