A Train Is Moving At A Speed Of 78 Km/h. How Much Distance Will It Cover In 2 Hours And 10 Minutes?

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Introduction

When it comes to calculating the distance covered by a moving object, such as a train, we need to consider its speed and the time it travels. In this article, we will explore how to calculate the distance covered by a train moving at a speed of 78 km/h in 2 hours and 10 minutes.

Understanding the Basics

To calculate the distance covered by the train, we need to understand the basic concepts of speed, time, and distance. Speed is defined as the rate at which an object covers a certain distance in a given time. It is usually measured in units of distance per unit of time, such as kilometers per hour (km/h) or meters per second (m/s). Time, on the other hand, is the duration for which the object travels at a certain speed. Distance, the final quantity we want to calculate, is the total length covered by the object during its journey.

Converting Time to Hours

Before we can calculate the distance covered by the train, we need to convert the given time of 2 hours and 10 minutes into just hours. To do this, we can use the following conversion factor: 1 hour = 60 minutes. Therefore, 10 minutes is equal to 10/60 = 0.1667 hours. Adding this to the 2 hours, we get a total time of 2 + 0.1667 = 2.1667 hours.

Calculating the Distance Covered

Now that we have the time in hours, we can use the formula for distance, which is:

Distance = Speed × Time

In this case, the speed of the train is 78 km/h, and the time is 2.1667 hours. Plugging these values into the formula, we get:

Distance = 78 km/h × 2.1667 h = 169.6666 km

Rounding the Answer

Since we are dealing with a real-world scenario, we can round the answer to the nearest whole number or to a certain number of decimal places, depending on the level of precision required. In this case, we can round the answer to the nearest whole number, which gives us a distance of approximately 170 km.

Conclusion

In conclusion, to calculate the distance covered by a train moving at a speed of 78 km/h in 2 hours and 10 minutes, we need to convert the given time into just hours and then use the formula for distance. By following these steps, we can arrive at the correct answer, which is approximately 170 km.

Additional Examples

Here are a few additional examples to illustrate the concept of calculating distance covered by a moving object:

  • A car is traveling at a speed of 60 km/h. How much distance will it cover in 3 hours and 30 minutes?
  • A bicycle is moving at a speed of 20 km/h. How much distance will it cover in 2 hours and 45 minutes?
  • A plane is flying at a speed of 800 km/h. How much distance will it cover in 4 hours and 15 minutes?

Tips and Tricks

Here are a few tips and tricks to help you calculate distance covered by a moving object:

  • Always convert the given time into just hours before using the formula for distance.
  • Make sure to use the correct units of measurement for speed and time.
  • Use the formula for distance to calculate the distance covered by the object.
  • Round the answer to the nearest whole number or to a certain number of decimal places, depending on the level of precision required.

Frequently Asked Questions

Here are a few frequently asked questions related to calculating distance covered by a moving object:

  • Q: What is the formula for distance? A: The formula for distance is Distance = Speed × Time.
  • Q: How do I convert time from minutes to hours? A: To convert time from minutes to hours, you can use the conversion factor: 1 hour = 60 minutes.
  • Q: What are the units of measurement for speed and time? A: The units of measurement for speed are kilometers per hour (km/h) or meters per second (m/s), and the units of measurement for time are hours or minutes.

Conclusion

In conclusion, calculating the distance covered by a moving object, such as a train, is a simple process that involves converting the given time into just hours and then using the formula for distance. By following these steps, we can arrive at the correct answer, which is approximately 170 km. We hope this article has provided you with a clear understanding of how to calculate distance covered by a moving object.

Introduction

In our previous article, we explored how to calculate the distance covered by a train moving at a speed of 78 km/h in 2 hours and 10 minutes. In this article, we will answer some frequently asked questions related to calculating distance covered by a moving object.

Q&A

Q: What is the formula for distance?

A: The formula for distance is Distance = Speed × Time.

Q: How do I convert time from minutes to hours?

A: To convert time from minutes to hours, you can use the conversion factor: 1 hour = 60 minutes. For example, if you have 10 minutes, you can convert it to hours by dividing by 60: 10 minutes ÷ 60 = 0.1667 hours.

Q: What are the units of measurement for speed and time?

A: The units of measurement for speed are kilometers per hour (km/h) or meters per second (m/s), and the units of measurement for time are hours or minutes.

Q: Can I use the formula for distance to calculate the distance covered by a car or a bicycle?

A: Yes, you can use the formula for distance to calculate the distance covered by any moving object, including cars and bicycles. The only thing you need to do is to use the correct units of measurement for speed and time.

Q: How do I calculate the distance covered by a plane flying at a speed of 800 km/h in 4 hours and 15 minutes?

A: To calculate the distance covered by the plane, you need to convert the given time into just hours: 4 hours + 15 minutes ÷ 60 = 4.25 hours. Then, you can use the formula for distance: Distance = Speed × Time = 800 km/h × 4.25 h = 3400 km.

Q: Can I use the formula for distance to calculate the distance covered by a train moving at a speed of 60 km/h in 3 hours and 30 minutes?

A: Yes, you can use the formula for distance to calculate the distance covered by the train. First, convert the given time into just hours: 3 hours + 30 minutes ÷ 60 = 3.5 hours. Then, use the formula for distance: Distance = Speed × Time = 60 km/h × 3.5 h = 210 km.

Q: What if I have a negative speed? Can I still use the formula for distance?

A: No, you cannot use the formula for distance if you have a negative speed. The formula for distance is only valid for positive speeds. If you have a negative speed, it means that the object is moving in the opposite direction, and you need to use a different formula to calculate the distance covered.

Q: Can I use the formula for distance to calculate the distance covered by an object moving at a constant speed in a circular path?

A: No, you cannot use the formula for distance to calculate the distance covered by an object moving at a constant speed in a circular path. The formula for distance is only valid for objects moving in a straight line. If you have an object moving in a circular path, you need to use a different formula to calculate the distance covered.

Conclusion

In conclusion, calculating the distance covered by a moving object is a simple process that involves using the formula for distance. By following the steps outlined in this article, you can answer any question related to calculating distance covered by a moving object.

Additional Resources

Here are some additional resources that you can use to learn more about calculating distance covered by a moving object:

  • Mathematics Handbook: This is a comprehensive online handbook that covers various topics in mathematics, including distance and speed.
  • Physics Classroom: This is a website that provides interactive lessons and tutorials on various topics in physics, including motion and distance.
  • Khan Academy: This is a website that provides free online courses and tutorials on various topics, including mathematics and physics.

Final Thoughts

Calculating the distance covered by a moving object is an important concept in mathematics and physics. By understanding how to calculate distance covered by a moving object, you can apply this knowledge to real-world problems and make informed decisions. We hope this article has provided you with a clear understanding of how to calculate distance covered by a moving object.