SOLUTION: Two trains leave the station at the same time, one heading west and the other east. The westbound train travels 12 miles per hour faster than the eastbound train. If the two tr

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Question 1030585: Two trains leave the station at the same time, one heading west and the other east. The westbound train travels
12
miles per hour faster than the eastbound train. If the two trains are
950
miles apart after
5
hours, what is the rate of the westbound train?
Found 2 solutions by Cromlix, mananth:
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Eastbound train travels at x mph
Westbound train travels at (x + 12)mph
Time = Distance /Speed
5 hours = 950 miles/ x + (x + 12)
5 = 950/2x + 12
Cross multiply
5(2x + 12) = 950
10x + 60 = 950
10x = 950 - 60
10x = 890
x = 89
Eastbound train travels at 89 mph
Westbound train travels at 101 mph
Hope this helps :-)

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Eastbound x mph
Westbound x+ 12 mph
..
They are moving towards each other

So add up their speed.

combined speed = x+ 1 x 12
( 2 x + 12 )
Time = 5 hours
Distance = 950 miles
Distance = speed * time
( 2 x 12 )* 5 = 950
10.00 x + 60 = 950
10 x = 950 + -60
10 x = 890
/ 10
x= 89 mph
Eastbound = 89 mph
Westbound 89 + 12 = 101 mph
m.ananth@hotmail.ca