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To: DUMBGRUNT
I drive from my house to your house at 30 mph. How fast do I have to drive back home so that my average speed for the round-trip is 60 mph.

90 mph.

Regardless the distance, if you do 30 up and 90 back, the average is (30+90)/2.

= 120/2

= 60 mph.

That you doubled the original mileage probably tricks people into saying 30 mph, thinking that they traveled 30 miles one way and 30 miles back, so still 30 mph. Or maybe the trick is different. I don't know.

Either way, it is nice to see genius still exists, that the woman solved an age old proof. It is always fun to read about genius. It is so underappreciated in a world where most people only care about how far you can throw a football or which actress has a bigger rack.

13 posted on 05/22/2020 3:02:01 PM PDT by Freedom_Is_Not_Free (What profits a man if he gains the world but loses his soul?)
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To: Freedom_Is_Not_Free

Nope.

Let’s say the houses are 30 miles apart. At 30 mph, it took you an hour to make the trip. For the round trip to be at an average 60 mph, you would have to do the 60 miles round trip in an hour. But you already spent an hour on the first half, leaving you zero time left. You would need infinite speed.


18 posted on 05/22/2020 3:13:08 PM PDT by PapaBear3625 ("Those who can make you believe absurdities, can make you commit atrocities." -- Voltaire)
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To: Freedom_Is_Not_Free

Bigger rack, you say?


23 posted on 05/22/2020 3:17:43 PM PDT by Mason
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To: Freedom_Is_Not_Free
Regardless the distance, if you do 30 up and 90 back, the average is (30+90)/2.

Not quite there. You’re just adding two different MPH figures and getting an average of the two. But, if you drove one mile at 30 MPH, it would take you 2 minutes, or 120 seconds. If you drove that same mile back at 90 MPH, it would take you 40 seconds. For a grand total of 160 seconds to drive 2 miles. That is an average of 80 seconds per mile or 45 MPH.

It’s easier to realize at a distance of 60 miles each direction. To average 60 MPH, you would have to make the round trip in two hours (120 miles/2 hours = 60MPH). But the first 60 miles took you two hours to drive at 30 MPH. That leaves no time for the return trip. There is no solution.

31 posted on 05/22/2020 3:28:32 PM PDT by IYAS9YAS (There are two kinds of people: Those who can extrapolate from incomplete data.)
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To: Freedom_Is_Not_Free

“Either way, it is nice to see genius still exists, that the woman solved an age old proof. It is always fun to read about genius. It is so underappreciated in a world where most people only care about how far you can throw a football or which actress has a bigger rack.”

It is enjoyable!

The young pitcher they found at a pitching booth was also fun.
But this story is even more fun, most likely this young lady will have many productive years.

I wish the pitcher well, but the numbers are against him.
https://www.mlb.com/cut4/a-s-sign-pitcher-who-dazzled-at-in-stadium-radar-booth


33 posted on 05/22/2020 3:31:20 PM PDT by DUMBGRUNT
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To: Freedom_Is_Not_Free

that’s exactly what I thought.


42 posted on 05/22/2020 3:45:18 PM PDT by srmanuel
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