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(@flga-2-2-2-2-2-2-2-2)
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Fnd9YjkWYAAXjqj
 
Posted : January 27, 2023 11:11 am
(@mightymoe)
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lightspeed

 
Posted : January 27, 2023 12:13 pm
(@lurker)
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Beam me back to Detroit Scotty.

 
Posted : January 27, 2023 12:17 pm
(@dave-karoly)
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If it is 100 miles one way then it took 2-1/2 hours. An average speed of 80mph would take 2-1/2 hours both ways. So it seems like Mr. Burton is SOL on achieving 80mph average speed.

 
Posted : January 27, 2023 1:43 pm
(@holy-cow)
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Google says it is 283 miles.?ÿ Round it to 280 miles and try again.

Took him 7 hours to do 280 miles.?ÿ If he could back in one hour doing 280 miles per hour, the average would be 560 miles in 8 hours or 70 mph.?ÿ So, it's going to need to be a lot faster than that.

 
Posted : January 27, 2023 2:05 pm
(@bill93)
Posts: 9834
 

Well, even light speed would leave him a millisecond or so too slow.

D/40 + D/x = 2D/80?ÿ?ÿ x -> infinity. He used all his time and has none left for the return trip.

 
Posted : January 27, 2023 2:30 pm
(@flga-2-2-2-2-2-2-2-2)
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Hey Y'all - It wasn't stated that Mr. Burton took the same route to and fro. ?????ÿ

 
Posted : January 27, 2023 3:41 pm
(@dave-o)
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120

80*2X=40*X+YX

 
Posted : January 27, 2023 4:22 pm
(@bill93)
Posts: 9834
 

Don't think so.?ÿ Identify your variables and I think you'll see you are not solving the given problem.

?ÿ

 
Posted : January 27, 2023 5:08 pm
(@bill93)
Posts: 9834
 

Hey Y'all - It wasn't stated that Mr. Burton took the same route to and fro. ?????ÿ

Touche!?ÿ There are always assumptions to be made with problems from that source. If we don't make that assumption, we cannot find an answer.

?ÿ

 
Posted : January 27, 2023 5:09 pm
(@flga-2-2-2-2-2-2-2-2)
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@bill93?ÿ

I think here there was a foregone conclusion rather than an assumption. ?????ÿ

 
Posted : January 27, 2023 5:54 pm
(@dave-karoly)
Posts: 12001
 

Google says it is 283 miles.?ÿ Round it to 280 miles and try again.

Took him 7 hours to do 280 miles.?ÿ If he could back in one hour doing 280 miles per hour, the average would be 560 miles in 8 hours or 70 mph.?ÿ So, it's going to need to be a lot faster than that.

Actual distance makes no difference, I just used 100 because it is easy. 280 just scales the problem up 2.8 times.

?ÿ

 
Posted : January 27, 2023 7:28 pm
(@holy-cow)
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Fellows.?ÿ Fellows.?ÿ Fellows.?ÿ We are told it took 7 hours to get there.?ÿ If that has a precision of plus or minus one-half hour.?ÿ Then, theoretically, he could have as much as 29 minutes and 59 seconds to make the return trip.?ÿ It would still be an extremely dangerous return trip in a vehicle on highways not designed for such speeds.

Trying to shorten the distance by going in a straight line would be foolish for two reasons.?ÿ The miles saved would not be a significant fraction of the total.?ÿ More importantly, the part going across Lake Michigan would be quite a challenge at any speed.

 
Posted : January 27, 2023 7:28 pm