Pat travels 70 miles on her milk route and Bob travels 75 mi

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

Solution

Pat\'s rate: b - 5
Bob\'s rate: b
Pat\'s time: 1.5t
Bob\'s time: t
Time * Rate = Distance
(b - 5)(1.5t) = 70
(b)(t) = 75
Use bob\'s formula:
t = 75/b
Substitute:
(b - 5)(1.5(75/b)) = 70
(b - 5)(112.5) = 70b
112.5b - 562.5 = 70b
42.5b = 562.5
About 13.24 (Bob\'s Rate)
Pat\'s Rate is about 8.24
~> Bob\'s time: 5.66
~> Pat\'s time: 8.5