SOLUTION: Pat travels 70 miles on her milk route, and Bob travels 75 miles on his route. Pattravels 5 miles per hour slower than Bob, and her route takes her one-half hour longer than Bob's.

Question 70281: Pat travels 70 miles on her milk route, and Bob travels 75 miles on his route. Pattravels 5 miles per hour slower than Bob, and her route takes her one-half hour longer than Bob's. How fast is each one traveling?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Pat travels 70 miles on her milk route, and Bob travels 75 miles on his route. Pat travels 5 miles per hour slower than Bob, and her route takes her one-half hour longer than Bob's. How fast is each one traveling?
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Pat DATA:
distance = 70 miles; rate = x-5 755mph ; time = d/r = 70/(x-5) hrs.
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Bob DATA:
distance = 75 miles ; rate= x mph ; time = d/r = 75/x hrs
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EQUATION:
Bob rate + 0.5 = Pat rate
75/x + 1/2 = 70/(x-5)
(151/2x) = 70/(x-5)
140x = 151x-755
-11x = -755
x=68.64 mph (Bob's rate)
x-5 = 63.64 mph (Pat's rate)
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Cheers,
Stan H.
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