Answer: speed other the slower train is 46 mph.
speed other the faster train is 56 mph.
Step-by-step explanation:
Let x represent the speed of the slower train. One train travels 10 mph faster than the other. This means that the speed of the faster train is (x + 10) mph.
In 4.5 hours, the trains are 459 miles apart. This means that the total distance travelled by both trains in 4.5 hours is 459 miles.
Distance = speed × time
Distance travelled by the slower train in 4.5 hours is
4.5 × x = 4.5x
Distance travelled by the faster train in 4.5 hours is
4.5(x + 10) = 4.5x + 45
Since the total distance covered is 459 miles, therefore,
4.5x + 4.5x + 45 = 459
9x = 459 - 45 = 414
x = 414/9
x = 46 mph
Speed of the faster train is
46 + 10 = 56 mph
