SOLUTION: Two trains, one express and one local, leave Indianapolis at noon and head for Chicago 220 miles away. The express travels twice as fast as the local and arrives 2 hours ahead of t

Question 673883: Two trains, one express and one local, leave Indianapolis at noon and head for Chicago 220 miles away. The express travels twice as fast as the local and arrives 2 hours ahead of the local. Find the speed of each train
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the local train
Let = the travel time for the local train
-----------
Equation for local train:
(1)
Equation for express train:
(2)
----------------------
(2)
Substitute (1) into (2)
(2)
(2)
(2)
(2)

The express train's speed is 110 m,i/hr
The local train's speed is 55 mi/hr
check answer:
(1)
(1)
(1)
and
(2)
(2)
(2)
OK

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