SOLUTION: Frank and Michael both leave the park at the same time, but in opposite directions. If Michael travels 4 mph faster than Frank and after 8 hours they are 176 miles apart, how fast

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Question 821129: Frank and Michael both leave the park at the same time, but in opposite directions. If Michael travels 4 mph faster than Frank and after 8 hours they are 176 miles apart, how fast is each traveling?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Frank and Michael both leave the park at the same time, but in opposite directions. If Michael travels 4 mph faster than Frank and after 8 hours they are 176 miles apart, how fast is each traveling?
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Michael DATA:
rate = x+4 mph ; time = 8 hrs ; distance = r*t = 8(x+4) miles
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Frank DATA:
rate = x mph ; time = 8 hrs ; distance = 8x miles
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Equation:
dist + dist = 176 miles
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8x + 8x+32 = 176
16x = 144
x = 9 mph (Frank's rate)
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x+4 = 13 mph (Michael's rate)
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Cheers,
Stan H.
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