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?

1 answer

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.