1. An Airplane Flies At 250 Mph. How Far Will It Travel In 5 Hours At That Rate Of Speed?Substitute The Information You Know Into The Formula:$\[ D = R \times T \\]Where:- \[$ R = 250 \$\] Mph- \[$ T = 5 \$\] HoursSolve The

Feb 26, 2025 by ADMIN 224 views

1. An Airplane's Distance Travelled: A Mathematical Calculation

In this article, we will explore the concept of distance travelled by an airplane at a constant rate of speed. We will use the formula for distance, which is given by $d = r \times t$ , where $d$ is the distance travelled, $r$ is the rate of speed, and $t$ is the time taken. We will substitute the given information into this formula and solve for the distance travelled by the airplane.

The formula for distance is given by $d = r \times t$ . This formula states that the distance travelled is equal to the product of the rate of speed and the time taken. In other words, if an object is moving at a constant rate of speed, the distance it travels is directly proportional to the time it takes to travel that distance.

We are given that the airplane flies at a rate of speed of 250 mph and that it travels for 5 hours. We can substitute this information into the formula for distance as follows:

$r = 250$ mph (rate of speed)
$t = 5$ hours (time taken)

Substituting these values into the formula, we get:

$d = 250 \times 5$

To solve for the distance travelled, we need to multiply the rate of speed by the time taken. In this case, we have:

$d = 250 \times 5$

$d = 1250$

Therefore, the airplane will travel a distance of 1250 miles in 5 hours at a rate of speed of 250 mph.

In this article, we used the formula for distance to calculate the distance travelled by an airplane at a constant rate of speed. We substituted the given information into the formula and solved for the distance travelled. The result showed that the airplane will travel a distance of 1250 miles in 5 hours at a rate of speed of 250 mph.

The concept of distance travelled at a constant rate of speed has many real-world applications. For example, in aviation, pilots need to calculate the distance travelled by their aircraft in order to plan their route and ensure that they arrive at their destination on time. In transportation, drivers need to calculate the distance travelled by their vehicle in order to plan their route and avoid traffic congestion.

The concept of distance travelled at a constant rate of speed is based on several mathematical concepts, including:

Multiplication: The formula for distance involves the multiplication of the rate of speed and the time taken.
Proportionality: The formula for distance states that the distance travelled is directly proportional to the time taken.
Units: The formula for distance involves the use of units, such as miles per hour and hours.

Here are some tips and tricks for calculating distance travelled at a constant rate of speed:

Use the formula: The formula for distance is a simple and effective way to calculate the distance travelled by an object at a constant rate of speed.
Substitute the given information: Make sure to substitute the given information into the formula in order to get the correct answer.
Check your units: Make sure to check your units in order to ensure that they are consistent with the formula.

Here are some frequently asked questions about distance travelled at a constant rate of speed:

Q: What is the formula for distance? A: The formula for distance is given by $d = r \times t$ .
Q: How do I calculate the distance travelled by an object at a constant rate of speed? A: To calculate the distance travelled by an object at a constant rate of speed, you need to substitute the given information into the formula and solve for the distance travelled.
Q: What are some real-world applications of the concept of distance travelled at a constant rate of speed? A: Some real-world applications of the concept of distance travelled at a constant rate of speed include aviation, transportation, and logistics.
2. An Airplane's Distance Travelled: A Q&A Article

In our previous article, we explored the concept of distance travelled by an airplane at a constant rate of speed. We used the formula for distance, which is given by $d = r \times t$ , to calculate the distance travelled by the airplane. In this article, we will answer some frequently asked questions about distance travelled at a constant rate of speed.

Q: What is the formula for distance?

A: The formula for distance is given by $d = r \times t$ . This formula states that the distance travelled is equal to the product of the rate of speed and the time taken.

Q: How do I calculate the distance travelled by an object at a constant rate of speed?

A: To calculate the distance travelled by an object at a constant rate of speed, you need to substitute the given information into the formula and solve for the distance travelled. For example, if an object is moving at a rate of speed of 250 mph and it travels for 5 hours, you can calculate the distance travelled as follows:

$d = 250 \times 5$

$d = 1250$

Q: What are some real-world applications of the concept of distance travelled at a constant rate of speed?

A: Some real-world applications of the concept of distance travelled at a constant rate of speed include:

Aviation: Pilots need to calculate the distance travelled by their aircraft in order to plan their route and ensure that they arrive at their destination on time.
Transportation: Drivers need to calculate the distance travelled by their vehicle in order to plan their route and avoid traffic congestion.
Logistics: Companies need to calculate the distance travelled by their vehicles in order to plan their delivery routes and ensure that their products arrive on time.

Q: What are some common mistakes to avoid when calculating distance travelled at a constant rate of speed?

A: Some common mistakes to avoid when calculating distance travelled at a constant rate of speed include:

Not using the correct formula: Make sure to use the correct formula for distance, which is given by $d = r \times t$ .
Not substituting the given information: Make sure to substitute the given information into the formula in order to get the correct answer.
Not checking your units: Make sure to check your units in order to ensure that they are consistent with the formula.

Q: How do I convert between different units of measurement?

A: To convert between different units of measurement, you can use the following conversion factors:

Miles per hour to kilometers per hour: 1 mile per hour is equal to 1.60934 kilometers per hour.
Hours to minutes: 1 hour is equal to 60 minutes.
Miles to kilometers: 1 mile is equal to 1.60934 kilometers.

Q: What are some tips and tricks for calculating distance travelled at a constant rate of speed?

A: Some tips and tricks for calculating distance travelled at a constant rate of speed include:

Use the formula: The formula for distance is a simple and effective way to calculate the distance travelled by an object at a constant rate of speed.
Substitute the given information: Make sure to substitute the given information into the formula in order to get the correct answer.
Check your units: Make sure to check your units in order to ensure that they are consistent with the formula.

In this article, we answered some frequently asked questions about distance travelled at a constant rate of speed. We covered topics such as the formula for distance, real-world applications, common mistakes to avoid, and tips and tricks for calculating distance travelled. We hope that this article has been helpful in answering your questions and providing you with a better understanding of the concept of distance travelled at a constant rate of speed.