SOLUTION: Two machines fill cereal boxes at the same rate. After the two machines work together for 4 hours, one machine breaks down. The second machine requires 26 more hours to finish fi

Question 250717: Two machines fill cereal boxes at the same rate. After the two machines work together for 4 hours, one machine breaks down. The second machine requires 26 more hours to finish filling the boxes. How long would it have taken one of the machines, working alone, to fill the boxes? (rate x time = work completed)
(the work needs to be show using FRACTIONS)
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
This is what I call job / time. Here is the formula:
J1/T1 * (together time) + J2/T2 * (together time) = total number of jobs.
J1 is firs persons number of jobs
T1 is first persons time to do the jobs.
Two machines fill cereal box. So, J1 = J2 = 1; B total cereal boxes.
T1 = T2; same rate.
At this pint we have the following equation:
(1/t)(4) + (1/t)(4) + (1/t)(26) = B.
We have to add the alone time of the second machine after the first breaks down. We don't know how many total boxes were to be filled.
Continuing
8/t + 26/t = B
34 = Bt
t = 34/B
This gives you the time to fill B boxes.
Hope this helps.

RELATED QUESTIONS
Two machines fill cereal boxes at the same rate. After the two machines work together for (answered by josgarithmetic)

two machines that fill cereal boxes work at the same rate. after they work together for 7 (answered by nerdybill)

two machines work at the same rate. after they work together for 7 h, one machine breaks (answered by ankor@dixie-net.com)

two machines fill cereal boxes at the same time. One machine, which is filling 16-ounce... (answered by ikleyn)

Machine A can do a certain job in 8 hours. machine B can do the same job in 10 hours.... (answered by stanbon)

suppose a factory contains two machines. there is a 19 % probability that the first... (answered by stanbon)

Machine A can do a certain job in 8 hours. machine B can do the same job in 10 hours.... (answered by Boreal)

The local post office has three machines for sorting the mail. If each works alone,... (answered by VFBundy,MathTherapy)

In a factory two different machines , A and B are used to fill bottles. When machines... (answered by stanbon)