Question 569139
 Kayla left 2.1 hours later traveling 35 mph faster in an effort to catch up to him. 
After 1.2 hours, Kayla finally caught up. Find Jose's average speed.
:
From the information given:
1.2 hrs is K's travel time (sorry about that)
and
2.1 + 1.2 = 3.3 hrs is J's travel time
:
When K catches, J, they will have traveled the same distance.
Let j = J's speed
then
(j+35) = K's speed
:
Write a distance equation: Dist = speed * time
:
3.3j = 1.2(j+35)
3.3j = 1.2j + 42
3.3j - 1.2j = 42
2.1j = 42
j = 42/2.1
j = 20 mph is J's average speed
:
:
Check this by finding the distance each traveled, they should be equal
3.3(20) = 66 mi
1.2(55) = 66 mi