SOLUTION: Two trains heading towards each other are 400 miles apart one train travels 15 miles per hour faster than the other train if they arrive at the same station in 5 hours how fast is

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Two trains heading towards each other are 400 miles apart one train travels 15 miles per hour faster than the other train if they arrive at the same station in 5 hours how fast is       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 703652: Two trains heading towards each other are 400 miles apart one train travels 15 miles per hour faster than the other train if they arrive at the same station in 5 hours how fast is each train traveling
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Let A = Speed of Train #1
Let B = Speed of Train #2
Equation 1: A+=+B+%2B+15 (One train is 15mph faster than the other)
Eqauation 2: 5A+=+400+-+5B
--------------------------------
Since we know the value of A, substitute (B+15) into equation 2 for A
Eqauation 2: 5A+=+400+-+5B
5%2A%28B+%2B+15%29+=+400+-+5B
Multiply the 5 through.
5B+%2B+75+=+400+-+5B
Add 5B to both sides
10B+%2B+75+=+400
Subtract 75 from both sides
10B+=+325
Divide both sides by 10
highlight%28B+=+32.5mph%29
Now plug 32.5 into equation 1 for B
Equation 1: A+=+B+%2B+15
A+=+%2832.5%29+%2B+15
highlight%28A+=+47.5mph%29