SOLUTION: Your mom and dad took turns driving on a 580 mile road trip that took 10 hours to complete. Your mom drove on average 55mph and your dad drove on average 60mph. How long did each p

Question 722809: Your mom and dad took turns driving on a 580 mile road trip that took 10 hours to complete. Your mom drove on average 55mph and your dad drove on average 60mph. How long did each person drive?
I'm having trouble writing the equations. 55x-y=580 & 60y-x=580 were the equations I came up with but they don't seem quite right.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= hours mom drove ---> = miles mom drove
= hours dad drove ---> = miles dad drove
adding up:
and
which make up the system

To solve by elimination, we could multiply the first equation times 55 to get
and subtract it from the other equation to get
-->
which can then be plugged into to get
-->
RELATED QUESTIONS
Your brother and sister took turns driving on a 580 mile trip that took 10 hours to... (answered by mananth)

Yvette and Juan took turns driving on a 580 mile trip that took 10 hours to complete.... (answered by stanbon)

Your aunt and uncle took turns driving on a 580-mile trip that took 10 hours. Your uncle (answered by josgarithmetic,MathTherapy)

your brother and sister took truns driving on a 580 mile trip. Your brother drove 55 mph... (answered by heidi_1_1)

On a recent road trip, you drove 900 miles and visited 7 cities. The trip took 4 days,... (answered by Alan3354)

Ann and Tom took turns driving for a total of 10 hours. On average, Ann drove at 65mph... (answered by josgarithmetic,richwmiller)

You and your roommate decided to take a road trip to the beach one weekend. You drove all (answered by ikleyn,josgarithmetic,greenestamps)

Sam rode his bike for 1 mile to a friend's house. Then his friend's mom drove him 12... (answered by ankor@dixie-net.com)

you and a friend take turns driving on a 450 mile trip. Your friend drives for 3.5 hours (answered by graphmatics)