SOLUTION: At noon Maria left the neighborhood and headed for the theater on her bike. She pedaled 10 mph. At 2:00, her friend got a ride along the sanme route from her parent. The parent dro

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: At noon Maria left the neighborhood and headed for the theater on her bike. She pedaled 10 mph. At 2:00, her friend got a ride along the sanme route from her parent. The parent dro      Log On

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Question 422815: At noon Maria left the neighborhood and headed for the theater on her bike. She pedaled 10 mph. At 2:00, her friend got a ride along the sanme route from her parent. The parent drove 30 mph. How long did it take the car to catch up to Maria?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
At noon Maria left the neighborhood and headed for the theater on her bike. She pedaled 10 mph. At 2:00, her friend got a ride along the sanme route from her parent. The parent drove 30 mph. How long did it take the car to catch up to Maria?
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Maria DATA:
rate = 10 mph ; time = x hrs ; distance = rt = 10x miles
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Friend DATA:
rate = 30 mph ; time = x-2 hrs ; distance = rt = 30(x-2) miles
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Equation:
10x = 30(x-2)
10x = 30x-60
20x = 60
x = 3 hrs (catch-up time)
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Cheers,
Stan H.
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