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)   (Show Source): You can put this solution on YOUR website!
Let = Maria's distance traveled
= Eduardo's distance traveled
Let = Maria's speed
= Eduardo's speed
----------------
Maria's equation:
(1)
Eduardo's equation:
(2)
----------------------------
(2)
(2)
By substitution:
(2)
(2)
(2)

--------------
Maria's speed was 55 mi/hr
Eduardo's speed was 60 mi/hr
--------------
check:
(2)
(2)
(2)
(2)
(2)
and
(1)
(1)
(1)
OK


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