SOLUTION: Two friends decide to meet in Chicago to attend a cubs game. Rob travels 96 miles in the same time that carl travels 75 miles. Robs trip uses more interstate highways and he can a

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Two friends decide to meet in Chicago to attend a cubs game. Rob travels 96 miles in the same time that carl travels 75 miles. Robs trip uses more interstate highways and he can a      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 53827: Two friends decide to meet in Chicago to attend a cubs game. Rob travels 96 miles in the same time that carl travels 75 miles. Robs trip uses more interstate highways and he can average 7mph more than Carl what is Robs Average speed
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Two friends decide to meet in Chicago to attend a cubs game. Rob travels 96 miles in the same time that carl travels 75 miles. Robs trip uses more interstate highways and he can average 7mph more than Carl what is Robs Average speed
---------------
Rob DATA:
distance = 96 miles ; rate = x mph ; time = d/r=96/x hrs.
--------
Carl DATA:
distance = 75 miles: rate = x-7 mph ; time = d/r = 75/(x-7)
-----
EQUATION:
time = time
96/x = 75/(x-7)
96(x-7)=75(x)
96x-672 = 75x
21x=672
x=32 mph (Rob's speed)
x-7=25 mph (Carl's speed)
Cheers,
Stan H.