. 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.

Answer 1

slower guy leaves going north from Point A at noon.

faster guy leaves in same direction at 1pm going r+x mph

when does the faster guy catch up?

let r=10mph x=5, f=15

rt=f(t-1) = distance

10t = 15(t-1) =15t -15

5t =15

t= 15/5= 3 hours

faster guy catches up at 3 pm

after each went 30 miles

3 x10= 30 miles

(3-1)(15)=2(15)= 30 miles