Question 897274
rate * time = distance.
r * t = d


d = 250


time for Lance is T
time for Levi is T-1


Lance travels at 25 mph.
Levi travels at 20 mph.


the sum of their distances must be equal to 250.


you get:


25*T + 20*(T-1) = 250


solve for T to get T = 6
this means that T-1 = 5


the 2 cyclists will be 250 miles apart 5 hours after Levi starts.


Lance travels 6 hours at 25 miles per hour for a distance of 150 miles.
Levi travels 5  hours at 20 miles per hour for a distance of 100 miles.
100 + 150 = 250.