SOLUTION: Please help me solve this problem Also how do I check it Alex bikes to Joes house at 12mph and returns by car at 36mph. If the entire round trip takes a total of 1 hour, how far

Algebra ->  Real-numbers -> SOLUTION: Please help me solve this problem Also how do I check it Alex bikes to Joes house at 12mph and returns by car at 36mph. If the entire round trip takes a total of 1 hour, how far      Log On


   



Question 23433: Please help me solve this problem
Also how do I check it
Alex bikes to Joes house at 12mph and returns by car at 36mph. If the entire round trip takes a total of 1 hour, how far from Alex does Joe live?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Going data:
distance =?; rate=12mph; time=t
Comming back data:
distance =?; rate=36mph; time=1-t
Formula: d=rt
EQUATION:
Going distance = Coming distance
12t = 36(1-t)
12t = 36-36t
48t= 36
t = 3/4 hr. (Going time)
Therefore distance =(3/4)(12)= 9 miles