Guest Posted February 7, 2011 Report Share Posted February 7, 2011 Every hour, on the hour, a bus leaves town A and heads toward town B. Every hour, on the hour, another bus leaves town B and heads toward town A. The trip between the two towns takes exactly two hours. How many buses going from town A to town B will the people on a bus going from town B to town A SEE during their trip? Note: All buses are on time leaving and arriving. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 7, 2011 Report Share Posted February 7, 2011 48 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 7, 2011 Report Share Posted February 7, 2011 You can't be certain as you don't control all bus services Three, observing the given information. If you will see one at the midpoint and one three quarters through, it stands to reason, another bus will pass you at your one quarter mark. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 7, 2011 Report Share Posted February 7, 2011 48 Could you walk me through the attainment of this answer? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 7, 2011 Report Share Posted February 7, 2011 (edited) 5 One every half an hour, including beginning and end[/spoiler edit:rethink Edited February 7, 2011 by sayalzah Quote Link to comment Share on other sites More sharing options...
0 fabpig Posted February 7, 2011 Report Share Posted February 7, 2011 5 (6 if you include the one they're on) say you're on the 6 oclock bus at 'A' the 4 oclock bus from'B' will be pulling in When you arive at 'B', the 8 oclock bus will be pulling out therefore buses from 'B' at 5 6 and 7 oclock will have passed you. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 7, 2011 Report Share Posted February 7, 2011 Darth Legion is correct! Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 7, 2011 Report Share Posted February 7, 2011 Darth Legion is correct! No he is not. Three is a minimum possible. Most likely 4 but could also be five. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 7, 2011 Report Share Posted February 7, 2011 No he is not. Three is a minimum possible. Most likely 4 but could also be five. Hi Brenflansd42, I was just going by this question: "How many buses going from town A to town B will the people on a bus going from town B to town A SEE during their trip?" This is my reasoning: The two towns are 2 hours apart. Therefore, both towns are in the same time zone. Suppose at 1 o'clock, the 1 o'clock bus from town A is heading out to town B, and at the same 1 o'clock time the 1 o'clock bus from town B is heading out to town A. The question is when will the people on the 1 o'clock from town B see the 1 o'clock bus from town A? Naturally, the two buses will pass each other one hour later or at 2 o'clock in the middle of the way. So right there, the people from town B will see 1 bus coming from town A. However, at 2 o'clock, the 2 o'clock bus from town A will also be leaving for town B. When then will the people on the 1 o'clock bus from town B see the 2 o'clock bus from town A? It is exactly 30 minutes later. So then the people will be seeing 2 busses from town A. Finally, 2 hours later when 1 o'clock bus from town B has reached it destination at town A, the 3 o'clock bus from town A is on its way to town B. So the people on the bus from town B will see a total of 3 busses leaving from town A. I could be wrong though. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 7, 2011 Report Share Posted February 7, 2011 wait a min folks! NuttyNumbers said a trip between two towns, now it could also mean a round-trip. Let's say you leave at hour T from Town B then you'll see following buses from Town A: The bus that left at hour T-2, would approach just when you are leaving.The bus that left at hour T-1, would meet you at 1/4 distance from Town B.The bus that left at hour T, would meet you mid way.The bus that left at hour T+1, would meet you at 3/4 distance from Town B.The bus that would leave at hour T+2 would just be leaving when you arrive. Thus, assuming constant speed and time for boarding/alighting the number is 5. Quote Link to comment Share on other sites More sharing options...
0 fabpig Posted February 7, 2011 Report Share Posted February 7, 2011 wait a min folks! NuttyNumbers said a trip between two towns, now it could also mean a round-trip. Let's say you leave at hour T from Town B then you'll see following buses from Town A: The bus that left at hour T-2, would approach just when you are leaving.The bus that left at hour T-1, would meet you at 1/4 distance from Town B.The bus that left at hour T, would meet you mid way.The bus that left at hour T+1, would meet you at 3/4 distance from Town B.The bus that would leave at hour T+2 would just be leaving when you arrive. Thus, assuming constant speed and time for boarding/alighting the number is 5. Urmmm.....isn't that what I said? Quote Link to comment Share on other sites More sharing options...
0 fabpig Posted February 7, 2011 Report Share Posted February 7, 2011 Hi Brenflansd42, I was just going by this question: "How many buses going from town A to town B will the people on a bus going from town B to town A SEE during their trip?" This is my reasoning: The two towns are 2 hours apart. Therefore, both towns are in the same time zone. Suppose at 1 o'clock, the 1 o'clock bus from town A is heading out to town B, and at the same 1 o'clock time the 1 o'clock bus from town B is heading out to town A. The question is when will the people on the 1 o'clock from town B see the 1 o'clock bus from town A? Naturally, the two buses will pass each other one hour later or at 2 o'clock in the middle of the way. So right there, the people from town B will see 1 bus coming from town A. However, at 2 o'clock, the 2 o'clock bus from town A will also be leaving for town B. When then will the people on the 1 o'clock bus from town B see the 2 o'clock bus from town A? It is exactly 30 minutes later. So then the people will be seeing 2 busses from town A. Finally, 2 hours later when 1 o'clock bus from town B has reached it destination at town A, the 3 o'clock bus from town A is on its way to town B. So the people on the bus from town B will see a total of 3 busses leaving from town A. I could be wrong though. is that you're forgetting the buses that left 'A' before 1 o' clock. i.e. 11 & 12 oclock buses will also be seen by people on 1 oclock bus from 'B' Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 7, 2011 Report Share Posted February 7, 2011 is that you're forgetting the buses that left 'A' before 1 o' clock. i.e. 11 & 12 oclock buses will also be seen by people on 1 oclock bus from 'B' Yes, I saw that when I looked at it today as well. You are correct. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 8, 2011 Report Share Posted February 8, 2011 They'll see one bus as they're pulling out, another at the half way point, and a third as they pull in. Quote Link to comment Share on other sites More sharing options...
0 fabpig Posted February 8, 2011 Report Share Posted February 8, 2011 (edited) They'll see one bus as they're pulling out, another at the half way point, and a third as they pull in. Sorry, Joey, that's not right. I think entry #6 decribes it best. Edited February 8, 2011 by fabpig Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 8, 2011 Report Share Posted February 8, 2011 Sorry, Joey, that's not right. I think entry #6 decribes it best. Yes, I see that now. Great riddle!!! Really gets you thinking. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 9, 2011 Report Share Posted February 9, 2011 is that you're forgetting the buses that left 'A' before 1 o' clock. i.e. 11 & 12 oclock buses will also be seen by people on 1 oclock bus from 'B' Yes, I see it now. You are in the right, and I am convinced of your thoughtful answer. I stand corrected. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 9, 2011 Report Share Posted February 9, 2011 5 (6 if you include the one they're on) say you're on the 6 oclock bus at 'A' the 4 oclock bus from'B' will be pulling in When you arive at 'B', the 8 oclock bus will be pulling out therefore buses from 'B' at 5 6 and 7 oclock will have passed you. New poster Here. I totally agree with the assumption Bus A will see Bus B pulling in and on arrival as well as the 30 minute interval observation. Quote Link to comment Share on other sites More sharing options...
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Every hour, on the hour, a bus leaves town A and heads toward town B.
Every hour, on the hour, another bus leaves town B and heads toward town A.
The trip between the two towns takes exactly two hours.
How many buses going from town A to town B will the people on a bus going from town B to town A SEE during their trip?
Note: All buses are on time leaving and arriving.
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