SOLUTION: Working together, two people can complete a task in 7 hours. Working alone, one person takes 2 hours longer than the other to complete the task. How long would it take for each per

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Question 885275: Working together, two people can complete a task in 7 hours. Working alone, one person takes 2 hours longer than the other to complete the task. How long would it take for each person to complete the task? (Round your answers to one decimal place.)
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
The rates of each working together are added. Arrange rates as TASK per HOUR.
Two People,
One person,
The other person,

.
Solve for x and you can find the "one person's" rate, OR the time for the task.




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You should find the quadratic equation occurs, , and the sensible solution which works is . This is about 13.07 hours.

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