SOLUTION: ted runs two thirds as fast as frank. in two hours frank runs eight miles farther then ted. how fast does each run?

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Question 21609: ted runs two thirds as fast as frank. in two hours frank runs eight miles farther then ted. how fast does each run?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Ted data:
distance = d; rate = (2/3)x; time= 2 hr.
Frank data:
distance = d+8; rate = x; time = 2hr.
Formula: distance = rate*time
EQUATION:
Frank distance = Ted distance + 8
2x = (4/3)x+8
6x = 4x+24
2x = 24
x = 12 mph (rate for Frank)
(2/3)x= 8 mph (rate for Ted)
Cheers,
Stan H.