SOLUTION: Shannon’s mini-van travels 30 mph faster than Chris’ Harley. In the same time it takes Chris to travel 75 miles, Shannon travels 120 miles. Solve for the speeds of Chris and Shann

Algebra ->  Test -> SOLUTION: Shannon’s mini-van travels 30 mph faster than Chris’ Harley. In the same time it takes Chris to travel 75 miles, Shannon travels 120 miles. Solve for the speeds of Chris and Shann      Log On


   



Question 402008: Shannon’s mini-van travels 30 mph faster than Chris’ Harley. In the same time it takes Chris to travel 75 miles, Shannon travels 120 miles. Solve for the speeds of Chris and Shannon.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Shannon's rate = r + 30
Chris's rate = r
==> 75%2Fr+=+120%2F%28r%2B30%29
==> 75(r+30) = 120r
==> 75r + 2250 = 120r
==> 2250 = 45r
==> r = 50 mph, the rate of Chris, and
r + 30 = 80 mph, the rate of Shannon.