A train leaves Little​ Rock, Arkansas, and travels north at 60 kilometers per hour. Another train leaves at the same time and travels south at 65 kilometers per hour. How long will it take before they are 250 kilometers​ apart?

To find how long it will take for the two trains to be 250 kilometers apart, we can use the concept of relative speed. Since the trains are traveling in opposite directions, their speeds will add up.

1. The speed of the first train = 60 km/h.
2. The speed of the second train = 65 km/h.

The combined speed of both trains is:
\[
60 \, \text{km/h} + 65 \, \text{km/h} = 125 \, \text{km/h}.
\]

Now, we can use the formula for time:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}.
\]

In this case, the total distance is 250 kilometers, and the combined speed is 125 km/h:
\[
\text{Time} = \frac{250 \, \text{km}}{125 \, \text{km/h}} = 2 \, \text{hours}.
\]

So, it will take **2 hours** for the two trains to be 250 kilometers apart.

Would you like further details or have any questions?

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Here are 5 related questions to deepen your understanding:
1. What would happen if one train increased its speed by 10 km/h?
2. How far would each train have traveled after 2 hours?
3. What would be the time if the total distance was 500 kilometers?
4. How would the result change if the trains were traveling in the same direction?
5. What if one train started 30 minutes later? How would that affect the time?

**Tip:** When objects move in opposite directions, always sum their speeds to find the relative speed.

A train leaves Little Rock, Arkansas, and travels north at 60 kilometers per hour. Another train leaves at the same time and travels south at 65 kilometers per hour. How long will it take before they are 250 kilometers apart?

Solve the classic train problem involving two trains traveling in opposite directions. Learn how to calculate when they will be 250 kilometers apart using the relative speed concept. This problem is ideal for students in Grades 6-8 and covers key math concepts such as distance-time relationships.

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