SOLUTION: Two cyclist start at the same time from opposite ends of the course that is 51 miles long. One cyclist is riding at a rate of 16 mph, and the second cyclist is riding at a rate of

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Two cyclist start at the same time from opposite ends of the course that is 51 miles long. One cyclist is riding at a rate of 16 mph, and the second cyclist is riding at a rate of      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 908387: Two cyclist start at the same time from opposite ends of the course that is 51 miles long. One cyclist is riding at a rate of 16 mph, and the second cyclist is riding at a rate of 18 mph. How long after they begin will they meet?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Two cyclist start at the same time from opposite ends of the course that is 51 miles long. One cyclist is riding at a rate of 16 mph, and the second cyclist is riding at a rate of 18 mph. How long after they begin will they meet?
------------------
Note: Their times are equal.
--------
x/16 = (51-x)/18
--------
18x = 16*51-16x
----
34x = 816
x = 24 miles
-----
Ans: Time = x/16 = 24/16 = 3/2 = 1 1/2 hours
---------------------
Cheers,
Stan H.
------------------