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Two cars leave a city traveling in the same direction. One travels at $60 \mathrm{mph}$ and the other at 45 mph. How long before the cars are 60 miles apart?

$$4 \mathrm{hrs}$$

Algebra

Chapter 0

Reviewing the Basics

Section 1

Solving Linear Equations

Equations and Inequalities

Reymar J.

November 23, 2021

the speedometer of a car moving north reads 60 km/h, it passes another car that travels southward reads 60 km/h. do both cars have tha same speed? do they have the same velocity?

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alright. For this question, we have two cars that are living the city at the same time. It was just type this year, Curtis the city same time. And we know that one of the cars is traveling at 60 MPH and the other card is traveling 45 MPH And both of these Kurds were traveling in the same direction. So one car is journaling at 60 MPH and everyone is at 45 MPH. Uh, this equation, we're gonna use linear equation because our value is going to be in the power of one. And again, we're going to use the fact that additions subtraction will into each other and multiple patient and division also under each other. So we have to Kurds live in the city at the same time at different speeds. And we want to know at what time or both these cars be 60 miles apart, when will they be 60 miles apart? So to find this, um, we're gonna have to find the distance between them, so we know that the distance that they're gonna be separated by IHS 60 miles and we know that The first car is traveling faster than the second card, and it's gonna be traveling at 60 MPH, times a value T and the other cards can be traveling at, uh, distance off 45 MPH times about T and this Value T is time that it takes for them to be 60 miles apart. So in order to find this, we're gonna have to subtract 45 MPH times t from the first car because I can give us a distance between. That's going to give this. That's gonna allow us to find the time in order further cars to be 60 miles apart. So this coming 45 practically this. But these values right here is going to give us distance because when we multiply hours times MPH, we're gonna end up with just the distance, Miles, miles. So this right here, we'll simplify it. It's gonna be 60 is equal to 60 times team on his 25 which is just 15. Okay, now this is 15 MPH right here. We're gonna divide both sides of the equation by 15 by 15. This is 60 miles divided by 15 MPH. And that's going to give us time, which is gonna be four, four hours equal to the time. Uh, eventually Don't be 60 miles apart. So these cars at T equals four hours is when the cars will be four miles 60 miles apart. Uh huh.

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