SOLUTION: One machine labels 1200 cans in one hour and a second machine labels 900 cans in an hour. If the faster machine starts 1 hour before the slower, how long will it take to label 8200

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Question 1193072: One machine labels 1200 cans in one hour and a second machine labels 900 cans in an hour. If the faster machine starts 1 hour before the slower, how long will it take to label 8200 cans?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
                    SPEED cans per hour          

ONE MACHINE           1200                        

SECOND MACHINE         900                       

The two machines worked together for x hours. The fast machine worked alone for only 1 hour.

1200%2A1%2B%281200%2B900%29%2Ax=8200
-
1200%2B2100x=8200
2100x=8200-1200
21x=82-12
x=70%2F21
x=%287%2A2%2A5%29%2F%287%2A3%29=10%2F3
highlight_green%28x=3%261%2F3%29hours

TOTAL Time was highlight%284%261%2F3%29 hours.