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ACT Aspire Math: Using Proportions to Calculate Jason's Miles Driven 4 Views


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Description:

Madison and Jason are taking turns driving across the state. Madison drives 90 miles in 3 hours at a constant speed. Jason drives for 4 hours at the same speed as Madison.

How many miles does Jason drive?


Transcript

00:03

Okay More math drills coming at you inspiring people Here

00:07

we go Madison and jason are taking turns driving across

00:10

the state in their new ferrari Madison drives ninety miles

00:13

in three hours at a constant speed Jason drives for

00:15

four hours at the same speed as madison Well how

00:18

many miles does jason dr sucking value out of that

00:22

ferrari mile by mile Speed is a type of rate

00:28

one weaken determined by calculating the distance covered in a

00:31

particular amount of time We know madison's distance and time

00:34

So start by using one of the handiest rate formulas

00:37

around too calculated how fast she was driving All right

00:40

well let's see distances rate times time So that's the

00:44

key phrase there Plugin chug we get ninety miles is

00:48

rate times three hours or rate is thirty miles an

00:53

hour with word per indicates division So miles per hour

00:58

literally means dividing miles by hours And coincidentally that's exactly

01:02

what we did He had not Coincidentally jason drives at

01:05

the same speed so plug that set of numbers into

01:07

the very same equation To find the distance he drives

01:09

distances rate times times so distances thirty miles an hour

01:13

times than four hours Right So he drove one hundred

01:16

twenty miles Well that's a long way to drive at

01:19

a speed of thirty miles an hour especially now ferrari

01:21

Hopefully no one was stuck driving behind them but whatever

01:24

the answer is one twenty

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