Question
The time it takes to finish a job varies inversely with the number of workers. Five (5) workers require 12 hours to finish a job.
a) If t represents the amount of time, what equation represents how long it would take n workers to finish a job?
b) How long will it take 15 workers to complete the job?
(6 points)
a) t=kn
=
$$
k =
t=
$$
b) t=
$$
=
a) If t represents the amount of time, what equation represents how long it would take n workers to finish a job?
b) How long will it take 15 workers to complete the job?
(6 points)
a) t=kn
=
$$
k =
t=
$$
b) t=
$$
=
Answers
Answered by
GPT-5 mini
a) Since t varies inversely with n, t = k/n. Using 5 workers and 12 hours: 12 = k/5 → k = 60. So t = 60/n.
b) For 15 workers: t = 60/15 = 4 hours.
b) For 15 workers: t = 60/15 = 4 hours.