Question

12 Men can complete a work in 20 days. Working after 5 days, 6 men left. In how many more days will the remaining work be completed by the remaining 6 Men?

• A. 35 days
• B. 30 days
• C. 25 days
• D. 32 days

Hint:

After 5 days, the 12 men have enough work left for another 15 days (\(12 \times 15\) man-days).
Since the workforce is halved (from 12 men to 6 men), the time taken to complete the remaining work must double:
\(15 \text{ days} \times 2 = 30 \text{ days}\). No heavy calculation is needed!

Answer 1

The Correct Option is B

Step 1: Find the total work in man-days.
12 men complete the work in 20 days. Total work = 12 x 20 = 240 man-days.
Step 2: Calculate the work done and work remaining after 5 days.
Work done by 12 men in 5 days = 12 x 5 = 60 man-days. Remaining work = 240 - 60 = 180 man-days.
Step 3: Find days for 6 men to complete remaining work.
Days required = 180 / 6 = 30 days.
\[ \boxed{30} \]