SOLUTION: It's 90 miles from Alphatown to Brightside. It's another 120 miles from Brightside to C-town. Brayden drives 20 miles faster from Brightside to C-town than from Alphatown to Bright

Algebra ->  Linear-equations -> SOLUTION: It's 90 miles from Alphatown to Brightside. It's another 120 miles from Brightside to C-town. Brayden drives 20 miles faster from Brightside to C-town than from Alphatown to Bright      Log On


   

Question 1145797: It's 90 miles from Alphatown to Brightside. It's another 120 miles from Brightside to C-town. Brayden drives 20 miles faster from Brightside to C-town than from Alphatown to Brightside. If his combined travel time is 7.5 hours, what are his average speeds?
What is the speed from Alphatown to Brightside?
and
What is the speed from Brightside to C-Town
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
..., Brayden drives 20 miles PER HOUR faster from Brightside to C-town than ,... 

              SPEED       TIME           DISTANCE

A to B           r          90/r             90

B to C          r+20       120/(r+20)       120

TOTAL                       7.5

Simplify and solve: 90%2Fr%2B120%2F%28r%2B20%29=7.5.

12%2Fr%2B16%2F%28r%2B20%29=1

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