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.
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> 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.
Log On
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?
--------------------
Pat DATA:
distance = 70 miles; rate = x-5 755mph ; time = d/r = 70/(x-5) hrs.
----------
Bob DATA:
distance = 75 miles ; rate= x mph ; time = d/r = 75/x hrs
-------
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)
-----------
Cheers,
Stan H.
(