Two trains traveling on parallel tracks are going toward each other from a distance of 760 miles. If the freight train is moving at 43 mph and the passenger train is moving at 52 ​mph, when will the trains pass each​ other?

To determine when the two trains will pass each other, we can use the formula:

\[
\text{Time} = \frac{\text{Distance}}{\text{Relative Speed}}
\]

### Step 1: Calculate the relative speed
The two trains are moving toward each other, so we add their speeds to get the relative speed.

\[
\text{Relative Speed} = 43 \, \text{mph} + 52 \, \text{mph} = 95 \, \text{mph}
\]

### Step 2: Calculate the time taken to pass each other
The total distance between the two trains is 760 miles. Using the relative speed:

\[
\text{Time} = \frac{760 \, \text{miles}}{95 \, \text{mph}} = 8 \, \text{hours}
\]

So, the two trains will pass each other in **8 hours**.

Would you like further details or have any questions? Here are some related questions:

1. How would the time change if one train increased its speed by 10 mph?
2. What would be the time taken if the distance was 1000 miles?
3. How do you calculate the time if one of the trains had a stop midway?
4. What would happen if the speeds of both trains were the same?
5. Can you calculate the distance each train traveled when they meet?

**Tip:** When solving relative speed problems, remember to add the speeds when objects move towards each other and subtract when they move in the same direction.

Two trains traveling on parallel tracks are going toward each other from a distance of 760 miles. If the freight train is moving at 43 mph and the passenger train is moving at 52 mph, when will the trains pass each other?

Solve a real-world math problem involving two trains traveling on parallel tracks toward each other from a distance of 760 miles. With the freight train moving at 43 mph and the passenger train at 52 mph, learn how to calculate the time it takes for them to pass each other. Suitable for students in Grades 6-8.

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