The time taken to do a piece of work is inversely proportional to the number of men employed. if it takes 45 men to do a piece of work in 5 days, how long will it take 25 men?
-
A.
15 days -
B.
12 days -
C.
5 days -
D.
9 days
Correct Answer: Option D
Explanation
The time (t) to do the work is inversely proportional to the number of workers (n).
(implies t propto frac{1}{n})
(t = frac{k}{n})
(5 = frac{k}{45} implies k = 45 times 5 = 225)
(therefore t = frac{225}{n})
For 25 men, (t = frac{225}{25} = 9)
(therefore) 25 men will do the work in 9 days.