Suppose two trains leave a certain station, at the same time, traveling in opposite directions. One train travels 1010 mph faster than the other. In 4.54.5 hours, the trains are 459459 miles apart. Find the speed of each train.

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