Paper 1 · Mathematical Reasoning and Aptitude
UGC NET June 2024 Re-Exam (28.08.2024) Shift-II
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 — They will now take 6 days, so that is the answer.
Explanation
★They will now take 6 days, so that is the answer.
★Total work is 45 times 16, which is 720 man-days.
★In six days, 45 men complete 270 man-days of work.
★The remaining work is 720 minus 270, which is 450 man-days.
★With 75 men now working, 450 divided by 75 is 6.
★Hence 6 days is correct.
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