SOLUTION: On Sunday Kara started biking from her apartment at 7:00 AM for a charity bike-a-thon, traveling at a constant speed. At 9:30 AM her roommate Amy began along the same route in her

Question 995333: On Sunday Kara started biking from her apartment at 7:00 AM for a charity bike-a-thon, traveling at a constant speed. At 9:30 AM her roommate Amy began along the same route in her car at an average speed 20 km/h greater and caught up with Kara at 11:30 AM. How far had Amy gone?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
On Sunday Kara started biking from her apartment at 7:00 AM for a charity bike-a-thon, traveling at a constant speed. At 9:30 AM her roommate Amy began along the same route in her car at an average speed 20 km/h greater and caught up with Kara at 11:30 AM. How far had Amy gone?
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Kara DATA:
time = 9/2 hr ; distance = x km ; rate = d/t = x/(9/2) = 2x/9 km/hr
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Amy DATA:
time = 2 hr ; distance = x km ; rate = d/t = x/2 km/hr
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Equation:
Amy rate - Kara rate = 20 km/hr
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x/2 - 2x/9 = 20
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9x - 4x = 2*9*20
5x = 18*20
x = 72 km (distance each of the girls went)
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Cheers,
Stan H.
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