SOLUTION: Two cyclists start at the same point and travel in opposite directions. One travels 5 mph faster than the other. In 6 hours they are 594 miles apart. Find how fast each is traveli

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Two cyclists start at the same point and travel in opposite directions. One travels 5 mph faster than the other. In 6 hours they are 594 miles apart. Find how fast each is traveli      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 753721: Two cyclists start at the same point and travel in opposite directions. One travels
5 mph faster than the other. In 6 hours they are 594 miles apart. Find how fast each is traveling.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Two cyclists start at the same point and travel in opposite directions.
One travels 5 mph faster than the other.
In 6 hours they are 594 miles apart.
Find how fast each is traveling.
-----------------------------
slower cyclist DATA: rate = x mph ; time = 6 hrs ; distance = rt= 6x miles
------
faster cyclist DATA: rate = x+5 mph ; time = 6 hrs ; distance 6(x+5) miles
------
Equation:
6x + 6x+30 = 594
12x = 564
x = 47 mph (slower cyclist rate)
x+5 = 52 mph (faster cyclist rate)
=====================
Cheers,
Stan H.
=====================