SOLUTION: Ted runs two thirds as fast of Frank. In two hours hours Frank runs eight miles farther than Ted. How fast does each run?

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Question 364353: Ted runs two thirds as fast of Frank. In two hours hours Frank runs eight miles farther than Ted. How fast does each run?
Answer by stanbon(75887) About Me  (Show Source):
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Ted runs two thirds as fast of Frank. In two hours hours Frank runs eight miles farther than Ted. How fast does each run?
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Frank DATA:
rate = x mph ; time = 2 hrs : distance = rt = 2x miles
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Ted DATA:
rate = (2/3)x mph ; time = 2 hrs : distance = rt = (4/3)x miles
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Equation:
Frank distance - Ted distance = 8 miles
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2x - (4/3)x = 8
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(2/3)x = 8
x = 12 mph (Frank's rate)
(2/3)x = 8 mph (Ted's rate)
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Cheers,
Stan H.