<PRE><B>Question 1057376</B>
max leaves Kansas city and drive east at a speed of 80km/h.
 one hour later, Olivia leaves Kansas city traveling in the same direction as Max but at 96 km/h. assuming neither driver stops for a break, how far from Kansas city will they be when Olivia catches up with Max?
:
Let t = the travel time of Olivia
then
(t+1) = the travel time of Max
:
When this happens, they will have traveled the same distance
Write a dist equation; dist = speed * time
96t = 80(t+1)
96t = 80t + 80
96t - 80t = 80
16t = 80
t = 80/16
t = 5 hrs
:
Find the distance from K.C
5 * 96 = 480 km
:
Check the distance
80(5 + 1) = 480 km
5 * 96 = 480 km </PRE>