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Two planes leave JFK airport at the same time, one flying north at $500 \mathrm{mph}$ and the other south at 600 mph. In how many hours will they be 4400 miles apart?

$$4 \mathrm{hrs}$$

Algebra

Chapter 0

Reviewing the Basics

Section 1

Solving Linear Equations

Equations and Inequalities

Missouri State University

Harvey Mudd College

University of Michigan - Ann Arbor

Idaho State University

Lectures

03:20

Two planes leave the same …

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Two planes fly in opposite…

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Two planes leave Boston at…

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okay, right for this problem. We have two planes that air leaving the JFK Airport at the same time. And they're traveling in opposite directions when is traveling at 500 MPH and the other one is traveling at 600 MPH. So we're gonna end up using a linear equation because our unknown value, which is gonna be time, is gonna be raised to the power of one. We're gonna use the fact that addition and subtraction under each other and multiplication and division under each other. So when will they be 4400 miles apart? So I know that they're traveling in opposite directions, so they're essentially we can kind of add up their distance. So is this gonna be 500 MPH plus 600 MPH to figure out what is the distance? That they're separating by prowar those of their trolling in opposite directions is going to be additive. So let's see, 500 miles problems the 600 MPH. It's just 1100 MPH. This is the distance at which they're separated. And then we're gonna multiply this number by T, which is gonna give us the time at which still, there'll be 4 to 400 miles apart. So at 4400 miles, we're going to have 1100 MPH times t in order to give us the time at which they'll be this distance apart. So we're just going to divide both sides by 1100 MPH. Yeah, it's a heart disease. And the by the left side, also, by 1100 MPH, we're going to be left with four hours weekly or our time simply. It's gonna take four hours where the airplanes to be 4400 miles apart. I yeah.

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