Help me find what am I doing wrong in this math problem plz!
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Help me find what am I doing wrong in this math problem plz!

[From: ] [author: ] [Date: 12-06-16] [Hit: ]
They meet after a total hicking time of 200hrs. If one group travels 1 1/2 mile per hour faster than the group. FInd the rate of each group.x=2.y=2.y=4.......
I'm doing a word problem for my math class but I can't get the right answer! I need help.
2 towns are 1250 miles apart. A group pf hikers start from each town and walk trail toward eachother. They meet after a total hicking time of 200hrs. If one group travels 1 1/2 mile per hour faster than the group. FInd the rate of each group.
This is what I have tried:

slower group= x * 200 = 200x y * 200 = 200y

200x + 200y = 1250
y=x + 1 1/2

200x+200(x+1 1/2) =1250
200x+200x+300=1250
400x+100=1250
-100 -100
400x=1150
400x/400 = 1150/400
x=2.875 = 2 7/8

y=x+ 1 1/2
y=2.875 + 1 1/2
y=4.375=4 3/8

-
1250 = 200x + 200y
y=x+1.5

1250 = 200x + 200(x+1.5)
1250 = 200x + 200x + 300
950 = 400x

You somehow turned the 300 into a 100. Magic is not allowed in mathematics.
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