SOLUTION: Yvette and Juan took turns driving on a 580 mile trip that took 10 hours to complete. Yvette drove at a constant speed of 55mph and Juan drove at constant speed of 60 mph. How long

Question 1001518: Yvette and Juan took turns driving on a 580 mile trip that took 10 hours to complete. Yvette drove at a constant speed of 55mph and Juan drove at constant speed of 60 mph. How long did each person drive? Be sure to define your variables
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Yvette and Juan took turns driving on a 580 mile trip that took 10 hours to complete. Yvette drove at a constant speed of 55mph and Juan drove at constant speed of 60 mph. How long did each person drive? Be sure to define your variables
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Yvette DATA:
distance = x ; rate = 55 mph ; time = x/55 hrs
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Juan DATA:
distance = 580-x ; rate = 60 mph ; time = (580-x)/60 hrs
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Equation::
time + time = 10 hrs
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x/55 + (580-x)/60 = 10
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60x + 55*580 - 55x = 10*55*60
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5x = (600-580)55
x = 20*11
x = 220 miles (distance Yvette drove) ; Yvette time = 220/55 = 4 hrs
580-x = 360 miles (distance Juan drove) Juan time = 360/60 = 6 hrs
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Cheers,
Stan H.

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