The time taken to 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.
5days
D.
9days
Correct Answer: 9days
Explanation
Let t be the time taken Let m the number of men t ∝1/m t = k/m (k = proportionality constant) when m =45, t=5. 5=k/45. k =225 When we have 25 men, the number of days will be t = k/m =225/25 t = 9days
Let t be the time taken Let m the number of men t ∝1/m t = k/m (k = proportionality constant) when m =45, t=5. 5=k/45. k =225 When we have 25 men, the number of days will be t = k/m =225/25 t = 9days