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#1 Prof. Templeton

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Posted 05 December 2008 - 04:04 AM

Professor Templeton was staying at a cabin in the remote countryside and decided to go out horseback riding. After riding all day he found himself 8 km West of his cabin and 4 km North, but his horse needed fresh water before he could return. In his travels he had come across a river that ran due East to West, 6 km North of his current position. If if will take 15 minutes to water the horse and his horse can travel at a constant speed of 10 km per hour when thirsty and 12 km per hour when watered, what's the shortest time it will take Prof. T to return to his cabin?
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#2 JackOfDiamonds

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Posted 05 December 2008 - 04:43 AM

Professor Templeton was staying at a cabin in the remote countryside and decided to go out horseback riding. After riding all day he found himself 8 km West of his cabin and 4 km North, but his horse needed fresh water before he could return. In his travels he had come across a river that ran due East to West, 6 km North of his current position. If if will take 15 minutes to water the horse and his horse can travel at a constant speed of 10 km per hour when thirsty and 12 km per hour when watered, what's the shortest time it will take Prof. T to return to his cabin?

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#3 Prof. Templeton

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Posted 05 December 2008 - 05:01 AM

Spoiler for solution?

That would be a possible route, but is it the shortest?
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#4 JackOfDiamonds

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Posted 05 December 2008 - 05:15 AM

That would be a possible route, but is it the shortest?


:o
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#5 Neptune'sObsoleteVersion

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Posted 05 December 2008 - 05:18 AM

:o

Spoiler for hmmmm


I'm pretty sure a dehydrated horse slows you down... It might die. Of course, you don't seem to care about animal rights. <_<
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#6 HokieKen

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Posted 05 December 2008 - 05:36 AM

Spoiler for way I see it

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#7 nightmare

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Posted 05 December 2008 - 06:03 AM

My math skills aren't that great but here is my guess
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#8 HokieKen

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Posted 05 December 2008 - 06:27 AM

My math skills aren't that great but here is my guess

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The return trip is > 10km. He is 10 km north and 8km west so he is (10^2 + 8^2)^1/2 km from cabin.
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#9 nightmare

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Posted 05 December 2008 - 06:33 AM

The Shortest distance between two points is a straight line, he is 4 miles north of his cabin and has to go another 6 miles north to water the horse. That means Due South it is 10 miles back to his cabin.
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#10 HokieKen

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Posted 05 December 2008 - 06:54 AM

The Shortest distance between two points is a straight line, he is 4 miles north of his cabin and has to go another 6 miles north to water the horse. That means Due South it is 10 miles back to his cabin.



The shortest distance is indeed a straight line, but you are neglecting that he is also 8 km west of his cabin to begin with.

Image1.jpg

Sorry this is so crude, but it should get the point across.
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