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Old 09-21-2010   #1 (permalink)
aŮejo
 
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Question The Bobber

You can paddle your canoe seven miles per hour through any placid lake. The stream flows at three miles per hour. The moment you start to paddle up stream a fisherman loses one of his bobbers in the water fourteen miles up stream of you.

How many hours does it take for you and the bobber to meet?



EDIT: You may have noticed this thread was closed as soon as it was entered. That was not intended to limit your input or enjoyment in any way. On the contrary, your participation is most welcome. The action was taken to prevent eager Peeps from going into some search engine, finding the answer, and posting it, as happened on several occasions in the past. (Of course I harvest a lot of this material from other sources. You didnít think I create it all myself, did you? Iím good, but Iím not that good!) Regrettably, that also means that folks who legitimately work out their own answers, and would like to post them, donít get to display their prowess, but Iím afraid that canít be helped. Iíll open the thread in a couple of days, when Peeps have had an opportunity to try their hand at a solution, and you can post away then. The official answer will come a bit after that. I appreciate your patience and understanding, and hope you enjoy the exercise.
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Old 09-25-2010   #2 (permalink)
aŮejo
 
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Okey-doke. Whadda' ya' got?
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Old 09-26-2010   #3 (permalink)
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Unless Im missing something, 2 hours, the bobber is coming downstream at 3 mph and would cover 6 miles in 2 hours, the canoe is traveling upstream at 4 mph and would cover 8 miles in 2 hours, this would equal 14, the starting distance apart.
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Old 09-26-2010   #4 (permalink)
aŮejo
 
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I also calculated 2 hours.
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Old 09-28-2010   #5 (permalink)
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I got two, as well.... so??
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Old 09-28-2010   #6 (permalink)
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It doesn't take hours to meet the bobber, only a split second, as you say hello and pass by.
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Old 09-28-2010   #7 (permalink)
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Here I am drawing out my arrays and trying to use my geotrig to calculate this...
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Old 09-29-2010   #8 (permalink)
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Quote:
Originally Posted by Mindbender View Post
It doesn't take hours to meet the bobber, only a split second, as you say hello and pass by.

semantics!!

I still say it's two hours.
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Old 09-30-2010   #9 (permalink)
aŮejo
 
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The Official Answer

Ignore the speed of the stream, as the bobber will be carried along at three miles per hour, as will you. It takes two hours to travel fourteen miles, at a rate of seven miles per hour.
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