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Topic: Trains and distances (Read 463 times) |
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EZ_Lonny
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Trains and distances
« on: Dec 21st, 2004, 8:00am » |
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Two trains are travelling on the same trace in opposite directions. Say Train A departs from Place X towards Place Y with a speed of 200 mph. Train B departs from Place Y towards Place X with a speed of 150 mph. The distance between Place X and Place Y is 1050 miles. At a certain moment they meet on that trace. Question: What train is the furthest away from Place Y at that very moment?
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ThudnBlunder
wu::riddles Moderator Uberpuzzler
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Re: Trains and distances
« Reply #1 on: Dec 21st, 2004, 8:41am » |
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Quote:Question: What train is the furthest away from Place Y at that very moment? |
| The one that is nearer to Place X.
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« Last Edit: Dec 21st, 2004, 10:05pm by ThudnBlunder » |
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John_Gaughan
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Re: Trains and distances
« Reply #2 on: Dec 21st, 2004, 12:32pm » |
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The third train that ran out of diesel at Place X.
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x = (0x2B | ~0x2B) x == the_question
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WombatDeath
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Re: Trains and distances
« Reply #3 on: Dec 21st, 2004, 2:18pm » |
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Assuming that they don't leave the track when they collide, train A will be furthest away.
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Grimbal
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Re: Trains and distances
« Reply #4 on: Dec 22nd, 2004, 1:48am » |
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But it is still possible that the rails are winding so much that at the place of the collision train A is closer to Y than B.
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EZ_Lonny
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Re: Trains and distances
« Reply #5 on: Dec 27th, 2004, 5:04am » |
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Did I say: same rails?
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John_Gaughan
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Re: Trains and distances
« Reply #6 on: Dec 30th, 2004, 6:05am » |
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You said "same trace," but I don't know what that means. We don't use as many trains here in the U.S. as those crazy Europeans
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Icarus
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Re: Trains and distances
« Reply #7 on: Dec 30th, 2004, 7:53am » |
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He means they are following the same route - but they could be on parallel sets of rails on that route. The U.S. is so big that it is uneconomical for us to do this much. Most traces in the U.S. consist of a single set of rails. Other than the occasional sidings - put in so that trains could pass each other, parallel rails on the same route are only found in congested areas.
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Grimbal
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Re: Trains and distances
« Reply #8 on: Jan 1st, 2005, 2:18pm » |
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What I meant is that if the route makes a big S, the train coming from A might be closer to B than the one coming from B at the time of the collision. Of course, even at high speed, the trains will not collide into a single point, so they must not be at the same distance.
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