SOLUTION: Ryn left the museum and drove south. Gab left 3 hours later driving 42 km/h faster in an effort to catch up to him. After 2 hrs, Gab finally caught up. Find Ryn's average speed.

Question 1026936: Ryn left the museum and drove south. Gab left 3 hours later driving 42 km/h faster in an effort to catch up to him. After 2 hrs, Gab finally caught up. Find Ryn's average speed.
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
What was Ryn's head start in km?
Let = Ryn's average speed
Ryn's head start = km
------------------------------
Start a stopwatch when Gab leaves
Let = distance in km that Gab travels
until Gab catches up with Ryn.
-------------------------------
Gab's equation:
(1)
Ryn's equation:
(2)
----------------------
Substitute (1) into (2)
(2)
(2)
(2)
(2)
Ryn's average speed is 28 km/hr
--------------------
check:
(1)
(1)
(1) km
and
(2)
(2)
(2)
(2)
(2) km
OK
Answer by MathTherapy(10557) (Show Source): You can put this solution on YOUR website!

Ryn left the museum and drove south. Gab left 3 hours later driving 42 km/h faster in an effort to catch up to him. After 2 hrs, Gab finally caught up. Find Ryn's average speed.

Let Ryn�s speed be S
Then Gab�s speed = S + 42
As Ryn drove for 5 (3 + 2) hours, and Gab drove for 2 hours, we get the following DISTANCE equation:
5S = 2(S + 42)
5S = 2S + 84
5S � 2S = 84
3S = 84
S, or Ryn�s speed = , or
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