SOLUTION: two machines that fill cereal boxes 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 filling the bo

Question 446935: two machines that fill cereal boxes 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 filling the boxes. how long would it have taken one of the machines, working alone, to fill the boxes?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
two machines that fill cereal boxes 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 filling the boxes. how long would it have taken one of the machines, working alone, to fill the boxes?
.
Let x = time (hours) it takes for one machine
then
7(1/x + 1/x) + 14(1/x) = 1
7(1 + 1) + 14(1) = x
7(2) + 14(1) = x
14 + 14 = x
28 hours = x

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