Train A leaves Westtown and travels at 50 mph toward Smithville, 330 miles away. At the same time, Train B leaves Smithville and travels at 60 mph toward Westtown.
After how many hours do the two trains meet?
To find the time it takes for the two trains to meet, we can use the equation:
Distance = Rate * Time
For Train A, the distance it travels is 50 mph * Time.
For Train B, the distance it travels is 60 mph * Time.
Since the total distance is 330 miles, we can set up the equation:
(50 mph * Time) + (60 mph * Time) = 330 miles
Multiplying the rates by the time gives us:
50T + 60T = 330
Combining like terms:
110T = 330
Dividing both sides by 110:
T = 330/110
T = 3
Therefore, the two trains meet after 3 hours.