A School Bus Takes 45 Minutes To Cover A Distance Of 27 Km. Calculate Its Speed In $ Km/hr $ And $ M/s $.
Introduction
In this article, we will delve into the world of mathematics, specifically focusing on the concept of speed. We will use a real-life scenario to calculate the speed of a school bus in kilometers per hour (km/hr) and meters per second (m/s). This calculation will help us understand the relationship between distance, time, and speed.
Understanding the Basics
Before we dive into the calculation, let's understand the basic concepts involved:
- Distance: The total length covered by the school bus in kilometers (km).
- Time: The time taken by the school bus to cover the distance in minutes (min).
- Speed: The rate at which the school bus covers the distance in km/hr or m/s.
Calculating Speed in km/hr
To calculate the speed of the school bus in km/hr, we need to use the formula:
Speed (km/hr) = Distance (km) / Time (hr)
Given that the school bus covers a distance of 27 km in 45 minutes, we need to convert the time from minutes to hours.
45 minutes = 45/60 = 0.75 hours
Now, we can plug in the values into the formula:
Speed (km/hr) = 27 km / 0.75 hr = 36 km/hr
Therefore, the speed of the school bus is 36 km/hr.
Calculating Speed in m/s
To calculate the speed of the school bus in m/s, we need to use the formula:
Speed (m/s) = Distance (m) / Time (s)
First, we need to convert the distance from kilometers to meters:
27 km = 27,000 m
Next, we need to convert the time from hours to seconds:
0.75 hr = 0.75 * 3600 = 2700 s
Now, we can plug in the values into the formula:
Speed (m/s) = 27,000 m / 2700 s = 10 m/s
Therefore, the speed of the school bus is 10 m/s.
Conclusion
In this article, we calculated the speed of a school bus in km/hr and m/s using a real-life scenario. We used the formulas for speed in km/hr and m/s to arrive at the final answers. This calculation helps us understand the relationship between distance, time, and speed.
Key Takeaways
- The speed of the school bus is 36 km/hr.
- The speed of the school bus is 10 m/s.
- To calculate speed in km/hr, we use the formula: Speed (km/hr) = Distance (km) / Time (hr).
- To calculate speed in m/s, we use the formula: Speed (m/s) = Distance (m) / Time (s).
Real-World Applications
Understanding speed is crucial in various real-world applications, such as:
- Transportation: Speed is a critical factor in transportation, whether it's a school bus, a car, or an airplane.
- Sports: Speed is a key component in sports, such as track and field, cycling, and swimming.
- Emergency Services: Speed is essential in emergency services, such as ambulances, fire trucks, and police cars.
Q&A: Frequently Asked Questions about School Bus Speed Calculation
Introduction
In our previous article, we calculated the speed of a school bus in kilometers per hour (km/hr) and meters per second (m/s). In this article, we will address some frequently asked questions about school bus speed calculation.
Q: What is the formula for calculating speed in km/hr?
A: The formula for calculating speed in km/hr is:
Speed (km/hr) = Distance (km) / Time (hr)
Q: How do I convert minutes to hours?
A: To convert minutes to hours, you can divide the number of minutes by 60.
45 minutes = 45/60 = 0.75 hours
Q: What is the speed of the school bus in m/s?
A: The speed of the school bus in m/s is 10 m/s.
Q: How do I convert kilometers to meters?
A: To convert kilometers to meters, you can multiply the number of kilometers by 1000.
27 km = 27,000 m
Q: What is the relationship between distance, time, and speed?
A: The relationship between distance, time, and speed is given by the formula:
Speed = Distance / Time
Q: Why is speed important in transportation?
A: Speed is important in transportation because it affects the time taken to reach a destination, which in turn affects the overall efficiency of the transportation system.
Q: Can I use the same formula to calculate speed in other units, such as miles per hour (mph)?
A: Yes, you can use the same formula to calculate speed in other units, such as miles per hour (mph). However, you will need to convert the distance from kilometers to miles and the time from hours to hours.
Q: How do I calculate the speed of an object that is moving at a constant acceleration?
A: To calculate the speed of an object that is moving at a constant acceleration, you can use the formula:
v = u + at
where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
Conclusion
In this article, we addressed some frequently asked questions about school bus speed calculation. We provided formulas and explanations to help you understand the relationship between distance, time, and speed.
Key Takeaways
- The formula for calculating speed in km/hr is: Speed (km/hr) = Distance (km) / Time (hr).
- To convert minutes to hours, you can divide the number of minutes by 60.
- The speed of the school bus in m/s is 10 m/s.
- The relationship between distance, time, and speed is given by the formula: Speed = Distance / Time.
Real-World Applications
Understanding speed is crucial in various real-world applications, such as:
- Transportation: Speed is a critical factor in transportation, whether it's a school bus, a car, or an airplane.
- Sports: Speed is a key component in sports, such as track and field, cycling, and swimming.
- Emergency Services: Speed is essential in emergency services, such as ambulances, fire trucks, and police cars.
By understanding speed, we can make informed decisions and optimize our daily lives.