# Two trains passing each other

• P6nub
In summary, two trains, one 120m long traveling at 10.0m/s and the other 80.0m long traveling at 6.0m/s, pass each other with a distance of 260m in between. Using the equation v=d/t, we can determine that Train A takes 34 seconds to cover a total distance of 340m, and Train B takes 63.33 seconds to cover a total distance of 380m. By setting up an equation with the distance traveled by Train B in time T equal to the separation distance plus the lengths of both trains plus the distance traveled by Train A in time T, we can solve for T and determine that it takes 28.8 seconds for
P6nub

## Homework Statement

A 120m long train with a constant speed of 10.0m/s is passing by a 80.0m long train traveling at 6.0m/s on the opposite lane. How long does it take for these two train to completely pass by each other if their distance in between is 260m?

v=d/t

## The Attempt at a Solution

Total distance Train A has to cover: 260m+80m= 340m
Total distance Train B has to cover: 260m+120m= 380m

Train A's Time = 340m / 10m/s
= 34s

Train B's Time = 380m / 6m/s
= 63.33s

Then I am not sure what to do next but I'm given the answer of 28.8s...

Last edited:
Welcome to PF!

Total distance Train A has to cover: 260m+80m= 340m
Curious wording here. It WILL cover some distance while the pass is happening, and how far that is will depend on how long it takes the other train to go by. So, your formula for the distance traveled by train A should have a T for time in it. You know its speed, so you should be able to write an expression for how far it goes in time T. I wouldn't add any length or closing distance onto that. The final equation will go something like this:
distance traveled by train B in time T = separation + length + distance traveled by train A in time T.

Note the T's in the equation - you will be able to solve the equation for the time and get the answer to the question.

## 1. How do you calculate the speed and distance of two trains passing each other?

The speed of the two trains can be calculated by adding their individual speeds together. The distance between the two trains can be calculated by multiplying the combined speed by the time it takes for them to pass each other.

## 2. What factors affect the time it takes for two trains to pass each other?

The speed of the trains, the distance between them, and any changes in speed or direction can affect the time it takes for two trains to pass each other.

## 3. Can two trains traveling in opposite directions have the same speed?

Yes, two trains traveling in opposite directions can have the same speed if their individual speeds are equal.

## 4. What is the relative velocity of two trains passing each other?

The relative velocity of two trains passing each other is the combined speed of the two trains, taking into account their direction of travel.

## 5. How does the length of the trains affect the time it takes for them to pass each other?

The length of the trains does not affect the time it takes for them to pass each other, as long as their combined length does not exceed the distance between them.

### Similar threads

• Introductory Physics Homework Help
Replies
2
Views
1K
• Introductory Physics Homework Help
Replies
6
Views
1K
• Introductory Physics Homework Help
Replies
1
Views
3K
• Introductory Physics Homework Help
Replies
5
Views
7K
• Introductory Physics Homework Help
Replies
2
Views
1K
• Introductory Physics Homework Help
Replies
4
Views
2K
• Introductory Physics Homework Help
Replies
9
Views
5K
• Introductory Physics Homework Help
Replies
1
Views
2K
• Introductory Physics Homework Help
Replies
2
Views
1K
• Introductory Physics Homework Help
Replies
4
Views
5K