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

Question 797543: Ryan left the science museum and drove
south. Gabriella left three hours later
driving 42 km/h faster in an effort to catch
up to him. After two hours Gabriella finally
caught up. Find Ryan's average speed. Please show step by step
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Ryan's average speed in km/hr
= Ryan's head start in km
= Gabriella's average speed in km/hr
Let = the distance in km Gabriella travels in 2 hrs
----------------
Start a stop watch when Gabriella leaves and stop it in 2 hrs
Ryan's equation:
(1)
Gabriella's equation:
(2)
---------------------
substitute (2) into (1)
(1)
(1)
(1)
(1)
(1)
Ryan's average speed is 28 km/hr
check:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK

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