SOLUTION: At 7:30 pm. , a freight train leaves the station and travels east and a passenger train leaves the same station and travels west at a rate 10 miles per hour faster than the freig

Question 886957: At 7:30 pm. , a freight train leaves the station and travels east and a passenger train leaves the same station and travels west at a rate 10 miles per hour faster than the freight train. At 11:30 pm the two trains are 400 miles apart. What is the rate of each train? Write the equation/s and solution .
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
At 7:30 pm. , a freight train leaves the station and travels east and a passenger train leaves the same station and travels west at a rate 10 miles per hour faster than the freight train. At 11:30 pm the two trains are 400 miles apart. What is the rate of each train?
***
let x=rate of freight train
x+10=rate of passenger train
distance=travel time*rate
travel time of both trains=11:30-7:30=4 hrs
..
4x+4(x+10)=400
4x+4x+40=400
8x=360
x=45
x+10=55
rate of freight train=45 mph
rate of passenger train=55 mph
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