Plane Flies 300km In 40 Mins: Distance In 110 Mins?

Hey everyone! Today, we're diving into a classic physics problem involving distance, time, and speed. We're going to break down a scenario where a plane travels 300 kilometers in 40 minutes, and then figure out how far it would travel in 110 minutes, assuming it maintains the same speed. This is a fundamental concept in physics, and mastering it will help you tackle all sorts of similar problems. So, let's put on our thinking caps and get started!

Understanding the Basics: Speed, Distance, and Time

Before we jump into the calculations, let's quickly review the core concepts we'll be using. The relationship between speed, distance, and time is a cornerstone of physics, and it's expressed in a simple formula:

Speed = Distance / Time

This formula tells us that speed is the rate at which an object covers distance over a specific period. Think of it like this: if you're driving a car, your speedometer shows your speed in kilometers per hour (km/h) or miles per hour (mph). This indicates how many kilometers or miles you're traveling every hour.

Distance is the total length traveled by an object. In our case, it's the kilometers the plane flies. Time is the duration of the journey, which we'll measure in minutes.

To solve our problem, we'll need to manipulate this formula to find the unknown distance. We'll first calculate the plane's speed using the information provided (300 km in 40 minutes). Once we have the speed, we can use it to determine the distance the plane travels in 110 minutes. It's like a puzzle, and we've got all the pieces we need!

Breaking Down the Problem

Okay, guys, let's break down the problem step by step to make it super clear. We know the plane travels 300 km in 40 minutes. Our goal is to find out how far it travels in 110 minutes, assuming its speed remains constant. This “constant speed” part is crucial because it allows us to use the formula we just discussed.

First, we need to find the plane's speed. We can do this by plugging the given values into our formula:

Speed = Distance / Time Speed = 300 km / 40 minutes

But before we perform the calculation, let's think about the units. We have distance in kilometers and time in minutes. This means our speed will be in kilometers per minute (km/min). While this is perfectly fine, it might be helpful to convert it to kilometers per hour (km/h) later, as it's a more commonly used unit. However, for now, let's stick with km/min to keep things simple.

Now, let’s do the division:

Speed = 300 km / 40 minutes = 7.5 km/min

So, the plane is traveling at a speed of 7.5 kilometers every minute. That's pretty fast!

Calculating the Distance in 110 Minutes

Now that we know the plane's speed, we can calculate the distance it travels in 110 minutes. We'll use the same formula, but this time we'll rearrange it to solve for distance:

Distance = Speed * Time

We know the speed is 7.5 km/min, and the time is 110 minutes. Let's plug these values into the formula:

Distance = 7.5 km/min * 110 minutes

Notice that the