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.
To find out how many hours it takes for the two trains to meet, we need to use the formula Distance = Speed × Time.
Let's assume that the time it takes for the two trains to meet is represented by "t" hours.
Train A is traveling towards Smithville at a speed of 50 mph, meaning it covers 50 miles every hour. So the distance traveled by Train A in "t" hours is 50t miles.
Similarly, Train B is traveling towards Westtown at a speed of 60 mph, meaning it covers 60 miles every hour. So the distance traveled by Train B in "t" hours is 60t miles.
Since the total distance between Westtown and Smithville is 330 miles, we can set up the equation:
50t + 60t = 330
Combining like terms, we get:
110t = 330
Now we can solve for "t" by dividing both sides by 110:
t = 330 / 110
Simplifying the expression, we find:
t = 3
Therefore, the two trains will meet after 3 hours.
the trains are closing at 110 mph
... (50 + 60)
t = d / r = 330 mi / 110 mph