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Post by iamnotarobot on Jun 24, 2019 21:53:33 GMT
(At least I found it entertaining because the solution makes you say "ah ha")
A column of soldiers 50 ft long marches forward 50 feet; at the same time a dog runs from the last man in the line to the front man and then back to the last man at the exact point where they started. How many feet did the dog travel?
PS the dog runs at a constant speed.
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Post by 𝔅𝔞𝔰𝔱𝔦𝔞𝔫 𝔅𝔞𝔩𝔱𝔥𝔞𝔷𝔞𝔯 𝔅𝔲𝔵 on Jun 25, 2019 7:46:01 GMT
Fifty?
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Post by iamnotarobot on Jun 25, 2019 14:55:16 GMT
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Post by 𝔅𝔞𝔰𝔱𝔦𝔞𝔫 𝔅𝔞𝔩𝔱𝔥𝔞𝔷𝔞𝔯 𝔅𝔲𝔵 on Jun 25, 2019 19:44:59 GMT
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Post by Flying Monkeys on Jun 25, 2019 20:04:19 GMT
120.71
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Post by Flying Monkeys on Jun 25, 2019 20:09:19 GMT
Is this an 'entertaining word problem' because there's a trick in the wording?
E.g. the column of soldiers - are they standing on each other's shoulders in a stack?
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Post by iamnotarobot on Jun 25, 2019 20:59:27 GMT
Very good. You get an Gold Star!. Also acceptable; 50 + 50 x sq root of 2. Did it take you a while or are you so good at word problems it only took you a minute or two? Be honest. Yes, I suppose I could have chosen a better word than "entertaining". Deal with it. |
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Post by Deleted on Jun 25, 2019 21:30:47 GMT
7?
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Post by Flying Monkeys on Jun 26, 2019 6:05:51 GMT
Very good. You get an Gold Star!. Also acceptable; 50 + 50 x sq root of 2. Did it take you a while or are you so good at word problems it only took you a minute or two? Be honest. Yes, I suppose I could have chosen a better word than "entertaining". Deal with it. Took about 3 or 4 minutes. I wasn't questioning your use of the word 'entertaining' - I like these kinds of problems, thanks! I was wondering about the description as a 'word' problem - this is a maths problem to me, so I thought describing it as a word problem may mean it was a trick question. No matter, though. Workings here. A few distance/speed/time equations relating the distance covered by the soldiers and the dog up to the point when the dog turns around, and the total distances covered, both in the same time, and out comes the answer:  |
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Post by iamnotarobot on Jul 19, 2019 18:19:43 GMT
Very good. You get an Gold Star!. Also acceptable; 50 + 50 x sq root of 2. Did it take you a while or are you so good at word problems it only took you a minute or two? Be honest. Yes, I suppose I could have chosen a better word than "entertaining". Deal with it. Took about 3 or 4 minutes. I wasn't questioning your use of the word 'entertaining' - I like these kinds of problems, thanks! I was wondering about the description as a 'word' problem - this is a maths problem to me, so I thought describing it as a word problem may mean it was a trick question. No matter, though. Workings here. A few distance/speed/time equations relating the distance covered by the soldiers and the dog up to the point when the dog turns around, and the total distances covered, both in the same time, and out comes the answer: OK here's one that took me quite a while to solve. A man in a boat rows at a constant speed of "v" (what it would be in still water) against a current "c". He rows upstream for one mile and at that point his hat blows into the river, he decides that he doesn't like the hat much and just lets it go. After he continues upstream for one hour he remembers that his train ticket is in the hatband of the hat. He turns around and rows with the current and catches up with the hat at the exact point that he started. How fast is the current? You have to solve it mathematically. No trial and error. |
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Post by Flying Monkeys on Jul 23, 2019 7:02:20 GMT
OK here's one that took me quite a while to solve. A man in a boat rows at a constant speed of "v" (what it would be in still water) against a current "c". He rows upstream for one mile and at that point his hat blows into the river, he decides that he doesn't like the hat much and just lets it go. After he continues upstream for one hour he remembers that his train ticket is in the hatband of the hat. He turns around and rows with the current and catches up with the hat at the exact point that he started. How fast is the current? You have to solve it mathematically. No trial and error. Current = 0.5 miles per hour.  |
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Post by iamnotarobot on Jul 24, 2019 18:00:04 GMT
OK here's one that took me quite a while to solve. A man in a boat rows at a constant speed of "v" (what it would be in still water) against a current "c". He rows upstream for one mile and at that point his hat blows into the river, he decides that he doesn't like the hat much and just lets it go. After he continues upstream for one hour he remembers that his train ticket is in the hatband of the hat. He turns around and rows with the current and catches up with the hat at the exact point that he started. How fast is the current? You have to solve it mathematically. No trial and error. Current = 0.5 miles per hour. I solved it slightly differently but that's correct. My rivers and streams always go from left to right btw. I'm right handed. |
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Post by Flying Monkeys on Jul 24, 2019 18:08:08 GMT
My rivers and streams always go from left to right btw. So does that one. |
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Post by iamnotarobot on Jul 24, 2019 18:21:51 GMT
My rivers and streams always go from left to right btw. So does that one. Look at where A,B and C are. And the problem states that he rows the mile first and then rows for an hour. Maybe your left and right are different than my left and right. |
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Post by Flying Monkeys on Jul 24, 2019 18:41:07 GMT
Look at where A,B and C are. And the problem states that he rows the mile first and then rows for an hour. Maybe your left and right are different than my left and right. A, B and C are the main points in the boat's journey, in order. Top right, which way is 'c', the current, going? |
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