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The time taken to do a piece of work is inverse... - JAMB Mathematics 2005 Question

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
correct option: c

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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