Question

A train leaves at 2 pm and heads North at 50 mph. The next train leaves 3 hours later and travels North at 60 mph. At what point will the second train catch up to the first?

Answer 1

To find the point at which the second train catches up to the first, set up an equation using the formula Distance = Rate * Time. Solve the equation to find the number of hours after the first train leaves that the second train catches up.

To find the point at which the second train catches up to the first train, we need to consider the time it takes for the second train to cover the distance that the first train has already traveled. Since the second train leaves 3 hours later, it will have traveled for the same amount of time as the first train when they meet.

Let's call the time it takes for the second train to catch up to the first train as 't' hours. Using the formula Distance = Rate * Time, we can set up the following equation: 50 * (t+3) = 60 * t. Solving this equation will give us the value of 't', which represents the number of hours after the first train leaves that the second train catches up to it.