SOLUTION: Maria and Eduardo left for the same meeting at the same time. The trip took Maria 2 hours and Eduardo 2.5 hours because he lived 40 miles further away. Eduardo traveled at 5 mph f

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Question 900841: Maria and Eduardo left for the same meeting at the same time. The trip took Maria 2 hours and Eduardo 2.5 hours because he lived 40 miles further away. Eduardo traveled at 5 mph faster than Maria. What were their speeds.
Thank you
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = Maria's distance traveled
+d+%2B+40+ = Eduardo's distance traveled
Let +s+ = Maria's speed
+s+%2B+5+ = Eduardo's speed
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Maria's equation:
(1) +d+=+s%2A2+
Eduardo's equation:
(2) +d+%2B+40+=+%28+s+%2B+5+%29%2A2.5+
----------------------------
(2) +d+%2B+40+=+2.5s+%2B+12.5+
(2) +2.5s+-+d+=+27.5+
By substitution:
(2) +2.5s+-+2s+=+27.5+
(2) +.5s+=+27.5+
(2) +s+=+55+
+s+%2B+5+=+60+
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Maria's speed was 55 mi/hr
Eduardo's speed was 60 mi/hr
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check:
(2) +d+%2B+40+=+%28+s+%2B+5+%29%2A2.5+
(2) +d+%2B+40+=+%28+55+%2B+5+%29%2A2.5+
(2) +d+=+60%2A2.5+-+40+
(2) +d+=+150+-+40+
(2) +d+=+110+
and
(1) +d+=+s%2A2+
(1) +d+=+55%2A2+
(1) +d+=+110+
OK