Discussion
45 men can complete a work in 16 days. After six days when they started working, 30 more men joined them. How many days will they now take to complete the remaining work ?
Answer: B
They will take 6 days.
The whole work is \(45 \times 16 = 720\) man-days. In the first six days, 45 men do \(45 \times 6 = 270\) man-days, leaving 450 man-days. Now \(45 + 30 = 75\) men work:
\[ \frac{450}{75} = 6\ \text{days} \]
10 days is the time the original 45 men would still have needed, and 8 and 12 days do not fit the man-day total.
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