SOLUTION: An express and local train leave GraysLake at 3 P.M. 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

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Question 34458: An express and local train leave GraysLake at 3 P.M. 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.
Found 2 solutions by mukhopadhyay, Prithwis:
Answer by mukhopadhyay(490) About Me  (Show Source):
You can put this solution on YOUR website!
Let the speed of the Local train is x mph
AT x mph, the Local train takes 50/x hours to travel 50 miles;
The speed of the Express train is 2x mph;
The Express train takes 50/2x (25/x) hours to travel 50 miles;
Hours taken by the Local train = Hours taken by the Express train + 1
=> 50/x = 25/x + 1
=> 50/x - 25/x = 1
=> 25/x = 1
=> x = 25;
The local train travels at 25 mph and the Express train at 50 mph.

Answer by Prithwis(166) About Me  (Show Source):
You can put this solution on YOUR website!
Let the speed of the Local train is x mph
AT x mph, the Local train takes 50/x hours to travel 50 miles;
And the speed of the Express train is 2x mph;
The Express train takes 50/2x hours to travel 50 miles;
Hours taken by the Local train = Hours taken by the Express train + 1
=> 50/x = 25/x + 1
=> 50/x - 25/x = 1
=> 25/x = 1
=> x = 25;
So, The local train travels at 25 mph and the Express train at 50 mph.