The time taken to do a piece of work is inversely proportional to the number...

JAMB 2005

The time taken to do a piece of work is inversely proportional to the number of men employed. If it takes 30 men to do a piece of work in 6 days, how many men are required to do the work in 4 days?

A. 20
B. 35
C. 45
D. 60

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Correct Answer: Option C

Explanation

t = time taken and N = number of men
t ∝ ¹/_N
t = ^K/_N
K = Nt
K = 30 * 6
K = 180
∴t = ¹⁸⁰/_N
4 = ¹⁸⁰/_N
4N = 180
N = ¹⁸⁰/₄
45 men

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The time taken to do a piece of work is inversely proportional to the number...

Correct Answer: Option C

Explanation

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