Answer:
<em>The slowest train goes at 86 mph and the fastest train goes at 96 mph.</em>
Step-by-step explanation:
<u>Distance and Speed</u>
Assume x is the speed of the slowest train, therefore the speed of the fastest train is x+10.
The distance is calculated as:
d = vt
Where v is the speed and t is the time.
The distance traveled by each train in 5 hours is:
Slowest: 5x
Fastest: 5(x+10)
The sum of both distances is 910 miles:
5x + 5(x + 10) = 910
Operating:
5x + 5x + 50 = 910
10x = 910 - 50 = 860
x = 860/10
x = 86
The slowest train goes at 86 mph and the fastest train goes at 96 mph.
