Two cyclists, 144 miles apart, start riding toward each other at the same time. One cycles 3 times as fast as the other. If they meet 4 hours later, what is the speed (in mi/h) of the faster cyclist?
Let X = the speed of the slower cyclist. Therefore 3X = the speed of the faster cyclist.
Since Rate * time = Distance
4X + 4 (3X) = 144 miles
Simplify, collect like terms, and solve for X to get the speed of the slower cyclist. Then multiply by 3 to get the speed of the faster cyclist.