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
<pre>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 = {{{(- 20)/(- 5)}}}, or {{{highlight_green(4)}}} hours
Time uncle drove = 10 - 4, or {{{highlight_green(6)}}} hours