SOLUTION: two machines work at the same rate. after they work together for 7 h, one machine breaks down. the second machine requires 14 h more to finish the boxes. how long would it have

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Question 376118: two machines work at the same rate. after they work together for 7 h, one machine breaks down. the second machine requires 14 h more to finish the boxes. how long would it have taken one of the machines to fill the boxes?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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two machines work at the same rate. after they work together for 7 h,
one machine breaks down. the second machine requires 14 h more to finish the boxes.
how long would it have taken one of the machines to fill the boxes?
:
Let x = time required by one machine to do the job
:
Let the completed job = 1
:
One machine works a total of 21 hrs, the other machine works 7 hrs
:
A shared work equation:
21%2Fx + 7%2Fx = 1
Multiply thru by x, results:
21 + 7 = x
x = 28 hrs, one machine working alone