SOLUTION: ryan left the science museum and drove south. Gabriella left three hours later driving 42km/h faster in an effort to catch up to him. 2 hours later, Gabriella finally caught up. Fi

Question 920808: ryan left the science museum and drove south. Gabriella left three hours later driving 42km/h faster in an effort to catch up to him. 2 hours later, Gabriella finally caught up. Find Ryan's average speed.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Ryan's average speed
What is Ryan's head start in km?

-----------------
Start a stopwatch when Gabriella leaves
Stop the stopwatch hrs later when
she catches up with Ryan
Let = the distance in km that
Gabriella travels until she catches him
-----------------
Ryan's equation:
(1)
Gabriella's equation:
(2)
----------------------
(1)
(1)
Substitute (1) into (2)
(2)
(2)
(2)
Ryan's average speed is 28 km/hr
check:

-----------------
(1)
(1)
and
(2)
(2)
(2)
OK

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