SOLUTION: Painters are often paid by the hour or on a per-job basis. The rate they receive can affect their working speed.For example, supose they can work for either $9.00 per hour or for $

Question 1043491: Painters are often paid by the hour or on a per-job basis. The rate they receive can affect their working speed.For example, supose they can work for either $9.00 per hour or for $320 plus $3 for each hour less than 40 if they complete the job in less that 40 hours. Suppose the job will take t hours. If t is greater than or equal to 40 the hourly rate is better. If t<40, for what values of t is the hourly rate the better pay scale?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
let t=number of hours
9t is one scale
320+(40-t)3 is the other scale.
For the job equaling 40 hours, the hourly rate is better, so at 40 hours, they make 40*$9 or $360.
9t>320+(40-t)3
9t>320+120-3t
12t>440
t>36 2/3 hours ANSWER
At 36 hours, they make 36*$9=$324 hourly and $320+$12+$332 by the faster system.
but at 37 hours, they make 37*$9=$333 hourly and $320+$9+$329 by the faster system.

RELATED QUESTIONS
Plumbers are often paid either by hour or on a per job basis. The rate they receive can... (answered by addingup)

a painting job can be completed by 7 painters in 17 days. if 21 more painters joined the... (answered by ankor@dixie-net.com)

A painting job can be completed by 3 painters in 17 days. If 12 more painters join the... (answered by josmiceli)

1. Kristen could shovel a large parking lot after a 12" snowfall in 5 hours. It would... (answered by 303795)

A painting job can be completed by 7 painters in 24 days. If 14 more painters join the... (answered by solver91311)

224 man-hours are required to complete a project. 4 men are employed at $7.50 per hour... (answered by robertb)

In a newsstory distributed by the local news paper, it reports that a substantial... (answered by rothauserc)

A Painting job can be completed in 12 hours by 3 professional painters. The same job can... (answered by josmiceli)

3. Campus Painters offers house-painting services by hiring college students to paint... (answered by benni1013)