SOLUTION: Jamie recently drove to visit her parents who live 490 miles away. On her way there her average speed was 24 miles per hour faster than on her way home (she ran into some bad weath

Question 1002933: Jamie recently drove to visit her parents who live 490 miles away. On her way there her average speed was 24 miles per hour faster than on her way home (she ran into some bad weather). If Jamie spent a total of 14 hours driving, find the two rates.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = her speed in mi/hr on her way back home
= her speed going to parents in mi/hr
Let = her time in hrs going back home
= her time in hrs going to parents
-----------------------------------------
Equation for going to parents:
(1)
Equation for going back home:
(2)
-----------------------------
(1)
and, since
(2)
(1)
(1)
Multiply both sides by
(1)
(1)
(1)
Complete the square
(1)
(1)
(1)
Take the square root of both sides
(1)
(1)
and

Her speed on her way back home was 60 mi/hr
Her speed going to parents was 84 mi/hr
-----------------------------------
check the answer
(2)
(2)
(2)
-----------------
(1)
(1)
(1)
(1)
(1)
(1)
(1)
OK
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