<p>Machine A spends 2500 minutes to do a job. how much time does it take for machine B to do the same job, if when they work together it takes them both 50 minutes to do four jobs? </p>
<p>can you please help me with this problem? how do you set up this equation. i ve been looking at it for hours!! thanks</p>
<p>I know there's an equation you can use, but since you've been looking at it forever I'm gonna infer math isn't your forte so I'll solve it for you using the basic: (rate)x(time)=Jobs</p>
<p>so assume A= rate of machine a (in units of Jobs/minute) and B=rate of machine b (in units of Jobs/ minute)</p>
<p>Using rate x time = jobs:
(2500 minutes) x A = 1 Job & (50)A+(50)B = 4 jobs
Solving for the equation on the left, A= 0.0004 Jobs/minute
Plug that A into the A in the equation on the right and solve for B, and you get B= 0.0796 (Job/minute)</p>
<p>Now you want the time it takes B to do 1 job so you set up the rate x time = jobs equation using the values you have for B and solve for time:
(0.0796 Job/minute) x (time) = 1 Job
time= 1/0.0796= 12.56 minutes</p>