passpadi

2005

Mathematics

JAMB

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 Answer: 45

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

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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