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Trickey Question

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Junior Member
If a frog was on one side of the road and he wanted to get to the other side, and he could only jump halfway each time. how many times would it take him to get there?


Ilistration(i cant spell)


😛 | Destination
 
He'd have to jump twice. Once to the middle of the road, and once to the other side.

You can practice this yourself in Frogger.
 
Actually, the frog may get there depending on your definition of the location of the frog and depending on your definition of half-way. Assumptions:
[*]Lets assume the frog was 2 inch long.
[*]Assume the road is 299 inch wide.
[*]Assume we can treat the frog as a point mass, and this point is located in the physical center of the frog (1 inch from either end).
[*]Assume the frog's head is initially right at the edge of the road (thus the point mass location is 300 inches from the other end).
[*]Assume 'halfway' is defined in the traditional philosophical sense in that the frog can only travel halfway from its current location to the edge.

Here is the frog's location:
[*]Jump 1: Point mass is 150 inches from edge.
[*]Jump 2: Point mass is 75 inches from edge.
[*]Jump 3: Point mass is 37.5 inches from edge.
[*]Jump 4: Point mass is 18.8 inches from edge.
[*]Jump 5: Point mass is 9.4 inches from edge.
[*]Jump 6: Point mass is 4.7 inches from edge.
[*]Jump 7: Point mass is 2.3 inches from edge.
[*]Jump 8: Point mass is 1.2 inches from edge.
[*]Jump 9: Point mass is 0.6 inches from edge.

After 9 jumps, the point mass is still not off the edge of the road. But, here is the important detail, the tip of the frog's head is over the edge of the road. We can confidently claim that the frog's head traveled a distance greater than the width of the road and the frog has crossed the road.
 
Originally posted by: dullard
Actually, the frog may get there depending on your definition of the location of the frog. Assumptions:
[*]Lets assume the frog was 2 inch long.
[*]Assume the road is 299 inch wide.
[*]Assume we can treat the frog as a point mass, and this point is located in the physical center of the frog (1 inch from either end).
[*]Assume the frog's head is initially right at the edge of the road (thus the point mass location is 300 inches from the other end).

Here is the frog's location:
[*]Jump 1: Point mass is 150 inches from edge.
[*]Jump 2: Point mass is 75 inches from edge.
[*]Jump 3: Point mass is 37.5 inches from edge.
[*]Jump 4: Point mass is 18.8 inches from edge.
[*]Jump 5: Point mass is 9.4 inches from edge.
[*]Jump 6: Point mass is 4.7 inches from edge.
[*]Jump 7: Point mass is 2.3 inches from edge.
[*]Jump 8: Point mass is 1.2 inches from edge.
[*]Jump 9: Point mass is 0.6 inches from edge.

After 9 jumps, the point mass is still not off the edge of the road. But, here is the important detail, the tip of the frog's head is over the edge of the road. We can confidently claim that the frog's head traveled a distance greater than the width of the road and the frog has crossed the road.
Click to expand...

:Q
 
Originally posted by: Demon-Xanth
I agree with notfred. There's a 1st half, and a 2nd half. He jumps one half at a time.
Click to expand...

Yeah, but given the ambiguity of the question it's impossible to tell. I think it works like this.

(1/2) + (1/2)*(1/2) + (1/2)^3 + (1/2)^4 ... (1/2)^n where n = number of jumps so as n approaches infinity the distance to the other side approaches 0 but never reaches 0.
 
Sorry buddy, but that has to be the worst grammatical and idea-delivery disaster I have ever seen, and I should know😀

Perhaps you should rephrase it in an overlycomplex but understandable form as such:


" Let's assume a brave and valiant young frogman has just made his way out of the pot in a French restaurant and is trying to get away from the chef. He spots a mail slot at about 50 paces and makes a run for it. Unfortunately the frog had waited until the water was boiling to make his escape, so he is dying. Due to his condition, the valiant young frogman, with each hop, can only travel a distance that is halfed with each subsequent hop. Will the valiant young frogman escape and live on for possible future adventures (assuming the movie deal goes through) or is he doomed?"


 
Originally posted by: dullard
Actually, the frog may get there depending on your definition of the location of the frog and depending on your definition of half-way. Assumptions:
[*]Lets assume the frog was 2 inch long.
[*]Assume the road is 299 inch wide.
[*]Assume we can treat the frog as a point mass, and this point is located in the physical center of the frog (1 inch from either end).
[*]Assume the frog's head is initially right at the edge of the road (thus the point mass location is 300 inches from the other end).
[*]Assume 'halfway' is defined in the traditional philosophical sense in that the frog can only travel halfway from its current location to the edge.

Here is the frog's location:
[*]Jump 1: Point mass is 150 inches from edge.
[*]Jump 2: Point mass is 75 inches from edge.
[*]Jump 3: Point mass is 37.5 inches from edge.
[*]Jump 4: Point mass is 18.8 inches from edge.
[*]Jump 5: Point mass is 9.4 inches from edge.
[*]Jump 6: Point mass is 4.7 inches from edge.
[*]Jump 7: Point mass is 2.3 inches from edge.
[*]Jump 8: Point mass is 1.2 inches from edge.
[*]Jump 9: Point mass is 0.6 inches from edge.

After 9 jumps, the point mass is still not off the edge of the road. But, here is the important detail, the tip of the frog's head is over the edge of the road. We can confidently claim that the frog's head traveled a distance greater than the width of the road and the frog has crossed the road.
Click to expand...

dude man..DUDE......D U D E! You didn;t have to show the work to get credit....
 
Originally posted by: Goosemaster
dude man..DUDE......D U D E! You didn;t have to show the work to get credit....
Click to expand...
I'll gladly spend 5 minutes typing to get a laugh for myself. I hope you enjoy it too.

 
Originally posted by: dullard
Originally posted by: Goosemaster
dude man..DUDE......D U D E! You didn;t have to show the work to get credit....
Click to expand...
I'll gladly spend 5 minutes typing to get a laugh for myself. I hope you enjoy it too.
Click to expand...

WEll then you might as well take taime into a factor assuming that no cars are changing lanes, they are traveling at .5second internvals....the fun never end😀
 
Originally posted by: Goosemaster
Sorry buddy, but that has to be the worst grammatical and idea-delivery disaster I have ever seen, and I should know😀

Perhaps you should rephrase it in an overlycomplex but understandable form as such:


" Let's assume a brave and valiant young frogman has just made his way out of the pot in a French restaurant and is trying to get away from the chef. He spots a mail slot at about 50 paces and makes a run for it. Unfortunately the frog had waited until the water was boiling to make his escape, so he is dying. Due to his condition, the valiant young frogman, with each hop, can only travel a distance that is halfed with each hop. Will the valiant young frogman escape and live on for possible future adventures (assuming the movie deal goes through) or is he doomed?"
Click to expand...

Not bad. Except for the "distance that is halfed" part. Maybe "he can only jump half as far as the previous" althouth it doesn't quite fit into the "trailer" narrative written.
 
Originally posted by: broon
Originally posted by: Goosemaster
Sorry buddy, but that has to be the worst grammatical and idea-delivery disaster I have ever seen, and I should know😀

Perhaps you should rephrase it in an overlycomplex but understandable form as such:


" Let's assume a brave and valiant young frogman has just made his way out of the pot in a French restaurant and is trying to get away from the chef. He spots a mail slot at about 50 paces and makes a run for it. Unfortunately the frog had waited until the water was boiling to make his escape, so he is dying. Due to his condition, the valiant young frogman, with each hop, can only travel a distance that is halfed with each hop. Will the valiant young frogman escape and live on for possible future adventures (assuming the movie deal goes through) or is he doomed?"
Click to expand...

Not bad. Except for the "distance that is halfed" part. Maybe "he can only jump half as far as the previous" althouth it doesn't quite fit into the "trailer" narrative written.
Click to expand...

I added subsequent 😉
 
Originally posted by: dullard
Actually, the frog may get there depending on your definition of the location of the frog and depending on your definition of half-way. Assumptions:
[*]Lets assume the frog was 2 inch long.
[*]Assume the road is 299 inch wide.
[*]Assume we can treat the frog as a point mass, and this point is located in the physical center of the frog (1 inch from either end).
[*]Assume the frog's head is initially right at the edge of the road (thus the point mass location is 300 inches from the other end).
[*]Assume 'halfway' is defined in the traditional philosophical sense in that the frog can only travel halfway from its current location to the edge.

Here is the frog's location:
[*]Jump 1: Point mass is 150 inches from edge.
[*]Jump 2: Point mass is 75 inches from edge.
[*]Jump 3: Point mass is 37.5 inches from edge.
[*]Jump 4: Point mass is 18.8 inches from edge.
[*]Jump 5: Point mass is 9.4 inches from edge.
[*]Jump 6: Point mass is 4.7 inches from edge.
[*]Jump 7: Point mass is 2.3 inches from edge.
[*]Jump 8: Point mass is 1.2 inches from edge.
[*]Jump 9: Point mass is 0.6 inches from edge.

After 9 jumps, the point mass is still not off the edge of the road. But, here is the important detail, the tip of the frog's head is over the edge of the road. We can confidently claim that the frog's head traveled a distance greater than the width of the road and the frog has crossed the road.
Click to expand...


*Yawn*
 
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