SOLUTION: Jaime and Alex leave the same location and travel in opposite directions. Traffic conditions enabled Alex to average 14 miles per hour faster than Jaime. After 1½ hours they are 15

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Question 1026157: Jaime and Alex leave the same location and travel in opposite directions. Traffic conditions enabled Alex to average 14 miles per hour faster than Jaime. After 1½ hours they are 159 miles apart. Find the speed at which each was able to travel.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = distance in miles Jaime travels in 1.5 hrs
+159+-+d+ = distance Alex travels in 1.5 hrs
Let +s+ = Jaime's speed in mi/hr
+s+%2B+14+ = Alex's speed in mi/hr
--------------------------------
Jaime's equation:
(1) +d+=+s%2A1.5+
Alex's equation:
(2) +159+-+d+=+%28+s+%2B+14+%29%2A1.5+
----------------------------
Substitute (1) into (2)
(2) +159+-+1.5s+=+%28+s+%2B+14+%29%2A1.5+
(2) +159+-+1.5s+=+1.5s+%2B+21+
(2) +3s+=+159+-+21+
(2) +3s+=+138+
(2) +s+=+46+
and
+s+%2B+14+=+46+%2B+14+
+s+%2B+14+=+60+
Jaime's speed was 46 mi/hr
Alex's speed was 60 mi/hr
------------------------
check:
(1) +d+=+s%2A1.5+
(1) +d+=+46%2A1.5+
(1) +d+=+69+ mi
and
(2) +159+-+d+=+%28+s+%2B+14+%29%2A1.5+
(2) +159+-+d+=+%28+46+%2B+14+%29%2A1.5+
(2) +159+-+d+=+60%2A1.5+
(2) +d+=+159+-+90+
(2) +d+=+69+ mi