SOLUTION: An express train travels 150 miles in the same time a freight train goes 100 miles. Find their average speeds if the freight train travels 20 mph less than the express train
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Question 596396: An express train travels 150 miles in the same time a freight train goes 100 miles. Find their average speeds if the freight train travels 20 mph less than the express train
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
L:et = the same time for both trains in hours
Let = the speed of the express train in mi/hr
= the speed of the freight train in mi/hr
----------------
Equation for express train:
(1)
Equation for freight train:
(2)
----------------
(2)
Substitute (1) into (2)
(2)
(2)
(2)
(2) hrs
----------------
(1)
(1)
(1)
(1) mi/hr
and
(2)
(2)
(2)
(2)
-----------------
The average speed of the express train in 60 mi/hr
The average speed of the freight train in 40 mi/hr
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