Posted by Ashli on Saturday, May 31, 2008 at 5:41pm.
Elena bicycles 6 km/h faster than Dennis. In the same time it takes Dennis to bicycle 45 km, Elena can bicycle 63 km. How fast does each bicyclist travel?

Algebra  DrBob222, Saturday, May 31, 2008 at 5:51pm
X = rate of Dennis
X+6 = rate of Elena
time Dennis to travel 45 = time Elena travel 63.
distance = rate x time or
time = distance/rate
45/X = 63/(X+6)
Solve for X = Dennis' speed.
X+6 = Elena's speed.