Processing math: 37%
Home / Aptitude Tests / Mathematics / The time taken to do...

The time taken to do a piece of work is inversely proport...

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 is D

The time (t) to do the work is inversely proportional to the number of workers (n).

t1n

t=kn

5=k45k=45×5=225

For 25 men, t = \frac{225}{25} = 9

\therefore 25 men will do the work in 9 days.