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) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = Ben's speed in mi/hr
+s+-+10+ = Ashley's speed in mi/hr
Let +d+ = distance in miles that Ben travels
+135+-+d+ = distance that Ashley travels
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Ben's equation:
(1) +d+=+s%2A1.5+
Ashley's equation:
(2) +135+-+d+=+%28+s+-+10+%29%2A1.5+
---------------------------
Plug (1) into (2)
(2) +135+-+1.5s+=+%28+s+-+10+%29%2A1.5+
(2) +135+-+1.5s+=+1.5s+-+15+
(2) +3s+=+150+
(2) +s+=+50+
and
+s+-+10+=+40+
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Ashley's speed is 40 mi/hr
Ben's speed is 50 mi/hr
----------------------
check:
(1) +d+=+50%2A1.5+
(1) +d+=+75+ mi
and
(2) +135+-+d+=+%28+50+-+10+%29%2A1.5+
(2) +135+-+d+=+40%2A1.5+
(2) +135+-+d+=+60+
+75+%2B+60+=+135+
OK