Two cyclists, 96 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as the other. If they meet 4 hours later, what is the speed (in mi/h) of the faster cyclist?

a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist.

b. What is the speed of the faster cyclist?

Question

Two cyclists, 96 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as the other. If they meet 4 hours later, what is the speed (in mi/h) of the faster cyclist? 

a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist. 

b. What is the speed of the faster cyclist?

enricoanders · Answer

@satellite73

danjs · Answer

One travels speed r, the other is 2*r, overall the distance is being covered at r+2r = 3r, the sum of their speeds.

danjs · Answer

Distance = rate*time
96 = 3*v*4

enricoanders · Answer

so thats the equation

danjs · Answer

yes,  d = ( r + 2r)*t
96 = (r + 2r) * 4
96 = 12r
r=8 mi/h

enricoanders · Answer

okay thanks