Question

The number of days needed to finish a quilt varies inversely as the number of people working on it. If it takes 15 days for three people to finish a quilt, how many people would be needed to finish it in 2.5 days?
Answer

0.5

18

12

20

Answer 1

Let number of days = t, number of workers = x
Since t and x are inversely related,
tx = k, where k is constant of proportionality
When t = 15, x = 3,
k = 15(3) = 45
tx = 45
When t = 2.5,
2.5x = 45
x = 18