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Topic: Bus schedule (Read 481 times) |
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wonderful
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Bus schedule
« on: May 25th, 2008, 7:22pm » |
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I a given traffic system, there is an intersection of the railway and the road. At any given N hour, there is two traffic stopping times where the road is closed for the train to pass by at N hour: 00 minute and N hour: 38 minute. The stopping time is 5 minute each time during which the bus has to stop if it happens to approach the intersection.
Can you design a time schedule for the bus with an interval of T minutes so that no bus has to stop? For instance, bus 1 starts at N : 00, bus 2: N :05, bus 3: N: 10 and so on. Note also that T can be greater than 60 minutes.
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pex
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Re: Bus schedule
« Reply #1 on: May 26th, 2008, 12:40am » |
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I think the smallest possible T is 10 minutes, with a schedule like N:06, N:16, N:26, ...
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towr
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Re: Bus schedule
« Reply #2 on: May 26th, 2008, 1:35am » |
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If T needn't be a whole number, then 7.5m works as well. And you can round it off for the schedule itself, 06 14 21 29 36 44 51 59.
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Eigenray
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Re: Bus schedule
« Reply #3 on: May 26th, 2008, 3:23am » |
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Actually the smallest possible T is 1/11 hours 
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