SOLUTION: An express and local train leave Grayslake at 3pm and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the
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Question 230819: An express and local train leave Grayslake at 3pm and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour 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 in mi/hr
Then = speed of the express
Let = time in hrs it takes for local to arrive in Chicago
Then time in hrs for express to arrive in Chicago
They both travel the same distance, mi
Now I can write an equation for each train
For local:
(1)
For express:
(2)
---------------------
From (2)
Substitute from (1)
and
The speed of the local is 25 mi/hr and
the speed of the express is 50 mi/hr
check answer:
(1)
(2)
OK
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