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If a train travels from point A to point B at a speed of 60 mph and returns from point b to point A at a speed of 40 mph, What is the average speed for the entire journey?

Learn how to determine the average speed of a train's round trip with varying speeds: 60 mph to point B and 40 mph back to point A

by Maivizhi A

Updated Mar 06, 2024

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If a train travels from point A to point B at a speed of 60 mph and returns from point b to point A at a speed of 40 mph, What is the average speed for the entire journey?

If a train travels from point A to point B at a speed of 60 mph and returns from point b to point A at a speed of 40 mph, What is the average speed for the entire journey? 

The average speed for the entire journey is 48 mph.

To find the average speed for the entire journey, we can use the formula for average speed, which is the total distance traveled divided by the total time taken.

Let's assume the distance between point A and point B is d miles.

When the train travels from point A to point B at 60 mph, it takes d/60 hours.

When the train travels from point B to point A at 40 mph, it takes d/40 hours.

Total distance traveled = 2d (since it travels from A to B and then back from B to A)

Total time taken = (d/60) + (d/40)

Average speed = Total distance / Total time

Average speed = 2d / ((d/60) + (d/40))

Simplify:

Average speed = 2 / ((1/60) + (1/40))

Average speed = 2 / (1/24)

Average speed = 48 mp

So, the average speed for the entire journey is 48 mph.

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Average Speed and Its Formula 

Average speed is a measure of the total distance traveled divided by the total time taken to cover that distance. It is commonly denoted by the symbol "v bar".

The formula for average speed is:

Average speed = (Total distance traveled) / (Total time taken)

Where:

Average speed is denoted by "v bar".

Total distance traveled is usually measured in units like kilometers (km), miles (mi), meters (m), etc.

Total time taken is usually measured in units like hours (h), minutes (min), seconds (s), etc.

It's important to note that average speed does not indicate how fast an object was moving at any particular moment during its journey. It's just the overall average rate of motion over a given distance and time period.

If a train travels from point A to point B at a speed of 60 mph and returns from point b to point A at a speed of 40 mph, What is the average speed for the entire journey - FAQs

1. What is the average speed of a train if it travels from point A to point B at 60 mph and returns at 40 mph?

The average speed for the entire journey is 48 mph.

2. How is average speed calculated for a round trip with varying speeds?

Average speed is calculated by dividing the total distance traveled by the total time taken.

3. What formula is used to find the average speed of the train's journey?

The formula for average speed is total distance divided by total time: Average speed = Total distance / Total time.

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