SOLUTION: Ben and Ashley left the airport at the same time traveling in opposite directions. Ashley traveled 10 miles per hour slower than Ben After driving for one and a half hours they wer

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Question 1025319: Ben and Ashley left the airport at the same time traveling in opposite directions. Ashley traveled 10 miles per hour slower than Ben After driving for one and a half hours they were 135 miles apart. How fast were both of them driving?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = Ben's speed in mi/hr
= Ashley's speed in mi/hr
Let = distance in miles that Ben travels
= distance that Ashley travels
--------------------------------------
Ben's equation:
(1)
Ashley's equation:
(2)
---------------------------
Plug (1) into (2)
(2)
(2)
(2)
(2)
and

---------------
Ashley's speed is 40 mi/hr
Ben's speed is 50 mi/hr
----------------------
check:
(1)
(1) mi
and
(2)
(2)
(2)

OK

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