passpadi

2017

Mathematics

JAMB

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
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