MrRubix's Riddle Thread

MrRubix_MK5 · 08-4-2008, 10:08 AM

In this thread, we will dedicate discussion to various riddles/puzzles/problems.

Next riddle:

Three men begin atop a mountain slope during a snowy night. Each man sits on top of their own flatbed cart on wheels (think Bugs Bunny cartoon, here). One of the men, Man #3, however, is stationed within a mountain tunnel, where no snow can pass through. Each man/cart is identical in every way, and their distances down to the bottom of the slope is the same. Each cart, at time 0, has no snow. They all start to go down the slope. Man #1 decides to sleep and does not do anything about the snow that falls onto his cart. Man #2 is constantly sweeping off snow that lands on his cart perpendicular to the direction of motion. Man #3, in the tunnel, obviously does nothing as he has no snow. Assume negligible friction, and assume no air drag or drag from midair snow -- all that matters here is the mass of any snow on the cart. Who makes it down to the bottom of the slope first, second, and third, and why?

____________________________________________________

Shash, Soulstone, and Laggy are out in the woods chopping trees for wood for a campfire. Shash brings back 6 logs, while Soulstone brings back 4 logs. However, later that night, Laggy admits he didn't collect any wood. However, he has 10 coins he is willing to distribute between both Shash and Soulstone if they let him share in the campfire. How does he distribute the coins between the two in a fair and equitable way? (you have to explain your logic)

HINT: The answer is not 6 and 4 to Shash and Soulstone.

___________________________________

Emerald, Fractal_Monkey, and Tass need to get to a location 30 miles away. Emerald and Fractal both walk at speeds of 3 mph each, but on a bike, they both go 5 mph. Tass can walk at 5 mph, but on a bike, he can go 15 mph. However, they only have one bike, and only one person can use the bike at any time. What is the shortest amount of time required to get all three of them to the location 30 miles away? What is your strategy?

_____________________________________

Here's one to get you started.

Imagine that the hour and minute hands of a clock are the same length. Imagine, also, that I am able to read the hands with 100% certainty (meaning I can tell EXACTLY how far the hour/minute hands have moved).

How many times exist over a 12 hour period where, if I were to look at the clock, I'd be unable to tell you what time it was?

MahouMinachan · 08-4-2008, 10:12 AM

Is this for the 24hrs, or 12hrs?

I like it · 08-4-2008, 10:12 AM

Stop ban evading rubix.

Fractal_Monkey · 08-4-2008, 10:14 AM

11 over the course of 12 hours. 22 in one day if you can differentiate between AM and PM. The minute hand will do 12 circuits in the time it takes for the hour hand to do one, so the hands overlap every 12/11 of an hour, or every 65.4545... minutes.

MahouMinachan · 08-4-2008, 10:18 AM

Quote:

Originally Posted by Fractal_Monkey

11 over the course of 12 hours. 22 in one day if you can differentiate between AM and PM. The minute hand will do 12 circuits in the time it takes for the hour hand to do one, so the hands overlap every 12/11 of an hour, or every 65.4545... minutes.

That can't be right, because if there were an X amount of times he couldn't tell, then there would be 2 times that are exact hand-minute positions. So, the total would be even.

Edit: Also, does it matter where the second is?

**pokelda** · 08-4-2008, 10:23 AM

you can also tell if its 1:00, 2:00, 3:00 etc.

MrRubix_MK5 · 08-4-2008, 10:34 AM

There is no second hand. Only a minute and hour hand. However, you can read the hands with perfect certainty (e.g. "The hour hand has moved X degrees and the minute hand has moved Y degrees").

Furthermore, mind you, the clock hands move as an actual clock hands would move. So, you can't say that 3:00 is indistinguishable from 12:15 because the hour hand would have moved slightly at the latter time.

BTW: 22 times in 24 hours = incorrect

dynamite1 · 08-4-2008, 10:37 AM

Is the answer 24?

MrRubix_MK5 · 08-4-2008, 10:38 AM

**Beethovens mask** · 08-4-2008, 10:41 AM

Quote:

Originally Posted by MrRubix_MK5

No

How about 72 and a half?

Also rubix, I love how they stopped banning your multiple accounts.

MrRubix_MK5 · 08-4-2008, 10:40 AM

To make this more clear, I've changed the question to ask about a 12-hour period (so you don't need to distinguish between am and pm)

**Adamaja456** · 08-4-2008, 10:41 AM

6? =/

**itmorr** · 08-4-2008, 10:45 AM

You can never tell us the time if you can't distinguish between the two hands.

**Beethovens mask** · 08-4-2008, 10:54 AM

Quote:

Originally Posted by itmorr

You can never tell us the time if you can't distinguish between the two hands.

Itmorr is correct. If the hands are identical, then you can't distinguish what time it is. Of course, if you are constantly watching the clock, you will be able to tell the difference, but seeing as you said when you can't read it, you obviously aren't watching it constantly.

wwwJ4mmYcouk · 08-4-2008, 10:47 AM

4 times?

**Kynosaur** · 08-4-2008, 12:17 PM

12, because the minute hand would be directly over the hour hand once every hour, right?

MrRubix_MK5 · 08-4-2008, 10:48 AM

Guys if you're going to just guess random numbers, I'm not going to say whether or not they are correct, lol. You have to explain your thought process.

MahouMinachan · 08-4-2008, 10:52 AM

Okay, I made a chart, and none of the hand-minute angles corresponded, so I'll say you can always tell exactly what time it is.

MrRubix_MK5 · 08-4-2008, 10:54 AM

Incorrect

If I said the hands looked like this:

|
|
|_____

What time would you tell me that is?

wwwJ4mmYcouk · 08-4-2008, 11:00 AM

Quote:

Originally Posted by MrRubix_MK5

Incorrect

If I said the hands looked like this:

|
|
|_____

What time would you tell me that is?

It can be one of two times...

12:15 or 3.00 ?

08-4-2008, 10:14 AM	#4
Fractal_Monkey FFR Player Join Date: Apr 2005 Location: Manchester, England Posts: 464	Re: MrRubix's Riddle Thread 11 over the course of 12 hours. 22 in one day if you can differentiate between AM and PM. The minute hand will do 12 circuits in the time it takes for the hour hand to do one, so the hands overlap every 12/11 of an hour, or every 65.4545... minutes.

08-4-2008, 10:23 AM	#6
pokelda ⁽ ´ཀ`⁾ Join Date: Jun 2006 Location: It is a mystery. Posts: 3,876	Re: MrRubix's Riddle Thread you can also tell if its 1:00, 2:00, 3:00 etc. __________________

08-4-2008, 10:34 AM	#7
MrRubix_MK5 Banned Join Date: Jul 2008 Posts: 120	Re: MrRubix's Riddle Thread There is no second hand. Only a minute and hour hand. However, you can read the hands with perfect certainty (e.g. "The hour hand has moved X degrees and the minute hand has moved Y degrees"). Furthermore, mind you, the clock hands move as an actual clock hands would move. So, you can't say that 3:00 is indistinguishable from 12:15 because the hour hand would have moved slightly at the latter time. BTW: 22 times in 24 hours = incorrect Last edited by MrRubix_MK5; 08-4-2008 at 10:36 AM..

08-4-2008, 10:37 AM	#8
dynamite1 FFR Player Join Date: Feb 2008 Posts: 76	Re: MrRubix's Riddle Thread Is the answer 24?

08-4-2008, 10:38 AM	#9
MrRubix_MK5 Banned Join Date: Jul 2008 Posts: 120	Re: MrRubix's Riddle Thread No

08-4-2008, 10:08 AM	#1
MrRubix_MK5 Banned Join Date: Jul 2008 Posts: 120	MrRubix's Riddle Thread In this thread, we will dedicate discussion to various riddles/puzzles/problems. Next riddle: Three men begin atop a mountain slope during a snowy night. Each man sits on top of their own flatbed cart on wheels (think Bugs Bunny cartoon, here). One of the men, Man #3, however, is stationed within a mountain tunnel, where no snow can pass through. Each man/cart is identical in every way, and their distances down to the bottom of the slope is the same. Each cart, at time 0, has no snow. They all start to go down the slope. Man #1 decides to sleep and does not do anything about the snow that falls onto his cart. Man #2 is constantly sweeping off snow that lands on his cart perpendicular to the direction of motion. Man #3, in the tunnel, obviously does nothing as he has no snow. Assume negligible friction, and assume no air drag or drag from midair snow -- all that matters here is the mass of any snow on the cart. Who makes it down to the bottom of the slope first, second, and third, and why? ____________________________________________________ Shash, Soulstone, and Laggy are out in the woods chopping trees for wood for a campfire. Shash brings back 6 logs, while Soulstone brings back 4 logs. However, later that night, Laggy admits he didn't collect any wood. However, he has 10 coins he is willing to distribute between both Shash and Soulstone if they let him share in the campfire. How does he distribute the coins between the two in a fair and equitable way? (you have to explain your logic) HINT: The answer is not 6 and 4 to Shash and Soulstone. ___________________________________ Emerald, Fractal_Monkey, and Tass need to get to a location 30 miles away. Emerald and Fractal both walk at speeds of 3 mph each, but on a bike, they both go 5 mph. Tass can walk at 5 mph, but on a bike, he can go 15 mph. However, they only have one bike, and only one person can use the bike at any time. What is the shortest amount of time required to get all three of them to the location 30 miles away? What is your strategy? _____________________________________ Here's one to get you started. Imagine that the hour and minute hands of a clock are the same length. Imagine, also, that I am able to read the hands with 100% certainty (meaning I can tell EXACTLY how far the hour/minute hands have moved). How many times exist over a 12 hour period where, if I were to look at the clock, I'd be unable to tell you what time it was? Last edited by MrRubix_MK5; 08-5-2008 at 02:36 PM..

08-4-2008, 10:12 AM	#2
MahouMinachan FFR Player Join Date: Jun 2005 Posts: 205	Re: MrRubix's Riddle Thread Is this for the 24hrs, or 12hrs? __________________ I have a sig.

08-4-2008, 10:12 AM	#3
I like it Housekeeper Join Date: Jan 2007 Posts: 2,122	Re: MrRubix's Riddle Thread Stop ban evading rubix.

08-4-2008, 10:40 AM	#11
MrRubix_MK5 Banned Join Date: Jul 2008 Posts: 120	Re: MrRubix's Riddle Thread To make this more clear, I've changed the question to ask about a 12-hour period (so you don't need to distinguish between am and pm)

08-4-2008, 10:41 AM	#12
Adamaja456 Absurd Join Date: Dec 2006 Location: 31 Billion Club, WA Age: 35 Posts: 6,433	Re: MrRubix's Riddle Thread 6? =/ __________________ 582 Tier Points(Tier 3) 602 AAAs(517+23+62) People who bought me subscriptions/tokens: DrugstoreCowboy(1 month) ELRayford(3 months) ~GJampa(3 months) Jerry DB(3 months) 4th place in Gamewhore Competition(3 months) Phynx(FGJ album and Dendrite V2) dragon890x(1 year) Slide(1 year)

08-4-2008, 10:47 AM	#15
wwwJ4mmYcouk FFR Player Join Date: Feb 2005 Location: England Posts: 1,031	Re: MrRubix's Riddle Thread 4 times? __________________ Frank Lee Morris Μήπως πραγματικά πνιγεί;

08-4-2008, 10:48 AM	#17
MrRubix_MK5 Banned Join Date: Jul 2008 Posts: 120	Re: MrRubix's Riddle Thread Guys if you're going to just guess random numbers, I'm not going to say whether or not they are correct, lol. You have to explain your thought process.

08-4-2008, 10:52 AM	#18
MahouMinachan FFR Player Join Date: Jun 2005 Posts: 205	Re: MrRubix's Riddle Thread Okay, I made a chart, and none of the hand-minute angles corresponded, so I'll say you can always tell exactly what time it is. __________________ I have a sig.

08-4-2008, 10:54 AM	#19
MrRubix_MK5 Banned Join Date: Jul 2008 Posts: 120	Re: MrRubix's Riddle Thread Incorrect If I said the hands looked like this: \| \| \|_____ What time would you tell me that is?

Currently Active Users Viewing This Thread: 1 (0 members and 1 guests)