MATHEMATICS

JAMB 2002 - Question 15

Mathematics 2002 JAMB Past Questions - Question 15: 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 piece of work in 5 days ,how long will it take 25 men?

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 piece of work in 5 days ,how long will it take 25 men?
A:
B:
C:
D:
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Correct Answer

D

Explanation

If the time taken to do a piece of work is inversely proportional to the number of men employed, we can use the formula:T = k/mwhere T is the time taken, m is the number of men employed, and k is the constant of proportionality.Given that it takes 45 men to do the work in 5 days, we can substitute these values into the formula to find the value of k:5 = k/45Multiplying both sides by 45:225 = kNow we can use this value of k to find the time it will take for 25 men to do the work:T = k/mT = 225/25T = 9Therefore, it will take 25 men 9 days to do the same piece of work.