Two trains are 450 miles apart, and are traveling toward each other at the same time. They meet 6 hrs later. The speed of the first train is 25 mph faster than that of the second train. What is the speed of each train?
they covered 450 miles in 6 hours. That's a combined speed of 75 mi/hr.
So, if the slower train's speed is x,
x + x+25 = 75
X=22.5
X=2.5
To find the speed of each train, we can use the formula:
Distance = Speed * Time
Let's consider the speed of the second train as 'x' mph. Since the speed of the first train is 25 mph faster, its speed can be represented as 'x + 25' mph.
Given that the two trains are 450 miles apart and meet after 6 hours, we can use the formula:
450 = (Speed of first train + Speed of second train) * Time
Substituting the values, we get:
450 = (x + x + 25) * 6
Simplifying the equation:
450 = (2x + 25) * 6
450 = 12x + 150
Subtracting 150 from both sides:
300 = 12x
Dividing both sides by 12:
x = 25
Thus, the speed of the second train is 25 mph.
Substituting the value of 'x' back into the equation, the speed of the first train is:
x + 25 = 25 + 25 = 50 mph
Therefore, the speed of the first train is 50 mph and the speed of the second train is 25 mph.