So ns was watching the video clip where the woman couldn't prize the question; then i thought: what if she *did*, however in way that rotate the tables, leaving the questioner flabbergasted. Right here I am, in ~ work, thinking around the most convoluted means to settle this problem. Here's what I came up with:

Let x be the moment in hours it takes to walk 80 miles. Collection v(t) = 80.

You are watching: How many hours is 80 miles

∫v(t)dt = 80 native 0 come x

Then 80x - 80(0) = 80

80x = 80

x = 1 hour

How would certainly you price this question, if you want to mess through that person?

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level 1

· 6y

How long does it require to go 80 mile if you're walking 80mph? The price is simple.

80 miles is the about fifty percent the broad of Florida. Florida is wherein Disney people is. Disney civilization is where Mickey mouse lives. Mickey mouse is in plenty of movies. Movies space made in Hollywood, California. California is whereby the gold rush happened. Often, yellow rushers would find a single gold nugget. Obviously gold is an excellent because it has a financial value. We likewise know that time is money. How much money is one gold nugget worth? One hour. And also there is her answer.

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level 1

· 6y

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

Since ns am no going 80 miles per hour, the explain 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 can expand her answer through re-deriving the whole integral calculus.

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level 2

· 6y

UK Maths&Compsci

You could expand that by building up the meanings of actual numbers from ZFC. *Then* usage those come re-derrive integral calculus.

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level 1

· 6y

We understand that there room 60 minutes in an hour. If we're traveling at a price of 80 mph, then that method we're travel at 80/60 = 8/6 = 4/3 miles per minute. After ~ one minute we take trip 4/3 miles. After 2 minutes we travel 4/3 + 4/3 miles. After 3 minutes we take trip 4/3 + 4/3 + 4/3 miles. Hence after one hour (sixty minutes) we take trip Σ(4/3)i wherein i goes from 1 come 60. So after one hour, we travel 4/3 * 60 = 240/3 = 80 miles.

To more convolute your answer, justification why it's a consistent speed. You feeling no force, as such F = 0. You have actually mass, so by Newton's second law a = 0. Since 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 to 60.

Careful. Don't incorporate the index in the summand in this case.

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level 1

Comment turned off by user · 6y

level 2

· 6y

A relativity approach to a trouble is always 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 include technicalities to make her right.

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

Assumptions made: She answered 10 minutes. A plane overhead travel at 480 miles every hour.

Maybe she ignored 80 mi/hr since they where not moving. They space a addressed reference allude to other else. She answered let's speak 10 minutes since her reference suggest was a airplane overhead. The aircraft being the just thing, maybe, in her see that was moving. If the aircraft was the reference suggest to them, lock were moving about, let's say, 480 mph away from it. Again that was with the plane as the referral point. Of food the velocity 480mph would be negative because she is relocating away native it together she is idle. As a result, she normalized the velocity to offer her the speed. The speed, now normalized, is simply positive 480 mph. At that speed, girlfriend hit 80 miles in 10 minutes.

See more: How Would A Person Most Likely Become Ill From Overly Acidic Water?

In all, instances, she to be right. The girl questioning her never ever specified a suggest of reference. She only implied one.