SOLUTION: You need to pick up your older sister from college which is 436 miles away. She is able to get a ride part way home. You agree to meet her at a point where both of you travel 4 ho

Question 545052: You need to pick up your older sister from college which is 436 miles away. She is able to get a ride part way home. You agree to meet her at a point where both of you travel 4 hours, but you are a faster driver and are going 15 mph faster than her ride. How fast are each of you driving?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the distance your sister travels =
Let her speed = s
Your distance is
------------------------
Sister's equation:
(1)
Your equation:
(2)
-------------------------
(2)
Substitute (1) into (2)
(2)
(2)
(2)
(2)
your speed is

Your speed is 62 mi/hr
check:
(2)
(2)
(2)
(2)
(2)
and
(1)
(1)
(1)
OK
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