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?
Enter your answer in the box.
330/(50+60)
I believe the answer is 3.
To figure out the time it takes for the two trains to meet, we need to use the formula: Distance = Rate * Time.
Let's consider that Train A has traveled for 't' hours. Therefore, the distance it has covered is 50t miles.
Similarly, Train B has traveled for 't' hours as well, covering a distance of 60t miles.
Since the total distance between the two towns is 330 miles, we can set up the equation:
Distance covered by Train A + Distance covered by Train B = Total distance
50t + 60t = 330
Combining the terms on the left side of the equation, we get:
110t = 330
Now, divide both sides of the equation by 110:
t = 330/110
Simplifying further, we have:
t = 3
Therefore, the two trains will meet after 3 hours.
So, the answer is 3.