SOLUTION: Your aunt and uncle took turns driving on a 580-mile trip that took 10 hours. Your uncle drove at a constant speed of 60 mph and your aunt drove a constant speed of 55 mph. How l

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Question 1021535: Your aunt and uncle took turns driving on a 580-mile trip that took 10 hours. Your uncle drove at a constant speed of 60 mph and your aunt drove a constant speed of 55 mph. How long did each person drive?
we have tried=
580 = 55/x + 60/y

600 = 55x + 60y

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) (Show Source):
You can put this solution on YOUR website!
The equation stating 600=55x+60y makes no sense.

RT=D is basic travel rates rule. Assign variables and make a data table.

rate time distance UNCLE 60 y 60y AUNT 55 x 55x Totals 10 580

I assigned variables to times, but you assigned variables to distances. This is simply a matter of choice of the person analyzing and solving the problem. Either way is good.

Answer by MathTherapy(10555) (Show Source):
You can put this solution on YOUR website!

Your aunt and uncle took turns driving on a 580-mile trip that took 10 hours. Your uncle drove at a constant speed of 60 mph and your aunt drove a constant speed of 55 mph. How long did each person drive?
we have tried=
580 = 55/x + 60/y

600 = 55x + 60y

Let time aunt drove, be T
Then time uncle drove = 10 - T
We then get the following DISTANCE equation: 55T + 60(10 - T) = 580
55T + 600 - 60T = 580
55T - 60T = 580 - 600
- 5T = - 20
T, or time aunt drove = , or hours
Time uncle drove = 10 - 4, or hours