
Andy C. answered 09/21/17
Tutor
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Math/Physics Tutor
distance = rate x time
R is the speed of the bus
THe car speed is 2R - 25
Car: distance = (2R-25) * time
Bus: distance = R * time
In two hours, their distances differ by 32.
(2r - 25)*2 - 2*r = 32
4r - 50 - 2r = 32
2r - 50 = 32
2r = 82
r = 41
The bus speed is 41 mph.
The car speed is 2*41 - 25 = 82 - 25 = 57.
In 2 hours the car travels 114 miles and the buss travels 82 miles,
which differs by 32 miles.