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        riddles >> medium >> Bus schedule
        
(Message started by: wonderful on May 25^th, 2008, 7:22pm)

Title: Bus schedule
Post by wonderful on May 25^th, 2008, 7:22pm

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.

Have A Great Day!

Title: Re: Bus schedule
Post by pex on May 26^th, 2008, 12:40am

I think the smallest possible T is [hide]10 minutes[/hide], with a schedule like [hide]N:06, N:16, N:26, ...[/hide]

Title: Re: Bus schedule
Post by towr on May 26^th, 2008, 1:35am

If T needn't be a whole number, then [hide]7.5m[/hide] works as well. And you can round it off for the schedule itself, [hide]06 14 21 29 36 44 51 59[/hide].

Title: Re: Bus schedule
Post by Eigenray on May 26^th, 2008, 3:23am

Actually the smallest possible T is [hide]1/11 hours[/hide] :P