SOLUTION: Jose left the airport and traveled toward the mountains. Kayla left 2.1 hours later traveling 35mph faster in an effort to catch up to him. After 1.2 hours Kayla finally caught up.

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Question 228926: Jose left the airport and traveled toward the mountains. Kayla left 2.1 hours later traveling 35mph faster in an effort to catch up to him. After 1.2 hours Kayla finally caught up. Find Jose's average speed.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let j= Jose's average speed
In 2.1 hrs, Jose has traveled
d+=+2.1j
Kayla's speed is j+%2B+35
The distance Kayla traveled to catch Jose is
%28j+%2B+35%29%2A1.2
Jose traveled %28j+%2B+35%29%2A1.2+-+2.1j in 1.2 hrs
Writing
d+=+r%2At,
%28j+%2B+35%29%2A1.2+-+2.1j+=+j%2A1.2
1.2j+%2B+42+-+2.1j+=+1.2j
2.1j+=+42
j+=+20 mi/hr
Jose's average speed is 20 mi/hr
check answer
In 2.1+%2B+1.2+=+3.3 hrs Jose traveled
20%2A3.3+=+66 mi
In 1.2 hrs Kayla traveled
%2835+%2B+20%29%2A1.2+=+66 mi
OK