So ns was watching the video clip where the woman couldn't answer the question; then ns thought: what if she *did*, but in method that rotate the tables, leave the questioner flabbergasted. Right here I am, at work, thinking about the many convoluted means to settle this problem. Here's what I come up with:

Let x be the moment in hrs it bring away to go 80 miles. Set v(t) = 80.

You are watching: How many minutes is 80 miles

∫v(t)dt = 80 indigenous 0 to x

Then 80x - 80(0) = 80

80x = 80

x = 1 hour

How would certainly you answer this question, if you want to mess v that person?

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level 1

· 6y

How long does it take to go 80 miles if you're walk 80mph? The answer is simple.

80 miles is the about fifty percent the width of Florida. Florida is whereby Disney people is. Disney people is whereby Mickey computer mouse lives. Mickey computer mouse is in plenty of movies. Movies space made in Hollywood, California. California is wherein the gold sirloin happened. Often, yellow rushers would discover a single gold nugget. Obviously yellow is an excellent because it has actually a monetary value. We likewise know that time is money. Exactly how much money is one yellow nugget worth? One hour. And there is your answer.

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level 1

· 6y

If ns am going 80 miles every hour, it would certainly take me 10 minute to go 80 miles.

Since ns am not going 80 miles every hour, the statement is vacuously true.

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level 2

· 6y

Logician

Logic major approves this statement.

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level 2

· 6y

I concur.

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level 2

· 6y

=> ftw

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level 1

· 6y

You might expand your answer through re-deriving the entire integral calculus.

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level 2

· 6y

UK Maths&Compsci

You can expand that by building up the definitions of genuine numbers from ZFC. *Then* usage those come re-derrive integral calculus.

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level 1

· 6y

We recognize that there room 60 minutes in an hour. If we're traveling at a price of 80 mph, then that method we're traveling at 80/60 = 8/6 = 4/3 miles every minute. After ~ one minute we take trip 4/3 miles. After two minutes we travel 4/3 + 4/3 miles. ~ 3 minute we travel 4/3 + 4/3 + 4/3 miles. Therefore after one hour (sixty minutes) we travel Σ(4/3)i whereby i goes native 1 come 60. So after one hour, we travel 4/3 * 60 = 240/3 = 80 miles.

To further convolute her answer, justify why it's a continuous speed. You feel no force, therefore F = 0. You have mass, for this reason by Newton's 2nd law a = 0. Because a = 0, v = constant.

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level 2

· 6y

Thus after one hour (sixty minutes) we take trip Σ(4/3)i wherein i goes from 1 come 60.

Careful. Don't encompass the table of contents in the summand in this case.

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level 1

Comment deleted by user · 6y

level 2

· 6y

A relativity method to a problem is constantly refreshing and also welcomed.

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level 1

· 6y

6.678 * 1046 planck times.

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level 1

· 6y

How about I try to add technicalities to make her right.

My physics teacher drilled into our heads the velocities room all relative.

Assumptions made: She answer 10 minutes. A airplane overhead travels at 480 miles every hour.

Maybe she ignored 80 mi/hr since they whereby not moving. They space a resolved reference suggest to something else. She reply let's to speak 10 minutes since her reference suggest was a aircraft overhead. The aircraft being the only thing, maybe, in her watch that was moving. If the aircraft was the reference allude to them, castle were relocating about, let's say, 480 mph away from it. Again the was through the airplane as the recommendation point. Of food the velocity 480mph would certainly be negative because she is relocating away native it together she is idle. As a result, she normalized the velocity to give her the speed. The speed, now normalized, is simply positive 480 mph. At the speed, friend hit 80 miles in 10 minutes.

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In all, instances, she was right. The girl questioning her never ever specified a allude of reference. She just implied one.