Answer:
The rate of the eastbound train is 68 miles per hour.
Step-by-step explanation:
It is given that two trains leave the station at the same time, one heading east and the other west.
The eastbound train travels 14 miles per hour slower than the westbound train.
Let the rate of westbound train be x and the rate of eastbound train be x-14.
Distance covered by trains in 4 hours,
Westbound train = 4x
Eastbound train = 4(x-14)
The two trains are 600 miles apart after 4 hours.
[tex]4x+4(x-14)=600[/tex]
[tex]4x+4x-56=600[/tex]
Add 56 on both sides.
[tex]8x=600+56[/tex]
[tex]8x=656[/tex]
Divide both sides by 8.
[tex]x=82[/tex]
The rate of westbound train = 82.
The rate of eastbound train = x-14 = 82-14 = 68
Therefore the rate of the eastbound train is 68 miles per hour.
