找回密码
 立即注册
搜索
总共850条微博

动态微博

查看: 1891|回复: 3
打印 上一主题 下一主题
收起左侧

Green Light Area

[复制链接]

1177

主题

2775

帖子

6万

积分

跳转到指定楼层
楼主
发表于 2005-2-21 21:22:42 | 只看该作者 回帖奖励 |倒序浏览 |阅读模式

The main street in a town has a linked traffic system consisting of six consecutive sections, each a multiple of 1/8th of a kilometre in length, and each terminating in a traffic light. www.ddhw.com


These lights have a 26-second cycle, which can be considered as 13 seconds on red and 13 on green. The lights are synchronised so that a vehicle travelling at 30 kmph will pass each light at the same point in its cycle. Albert, has studied the system and reckons he can drive faster than 30 kmph and still get through the entire system without crossing a red light. Recently, he set up an experiment with the help of two friends, Robert and Hubert. All three entered the first section simultaneously, Albert travelling at 30, Hubert at 50 and Robert at 75 kmph, with the first traffic light turning green three seconds later. Robert got through the whole system in less than two minutes without being stopped. However, he thought he had been lucky, as he arrived at the last light just as it changed to red. Hubert ran out of petrol after the third light, and in any case would have been stopped at the second light had he not lost 10 seconds due to a delay in the second section. What were the lengths of each of the six sections?

www.ddhw.com

 

回复

使用道具 举报

53

主题

363

帖子

4139

积分

沙发
发表于 2005-2-23 01:08:12 | 只看该作者

回复:Green Light Area


It does not seem to have a solution. Are you sure about the conditions?
www.ddhw.com

 
回复 支持 反对

使用道具 举报

10

主题

271

帖子

1996

积分

板凳
发表于 2005-2-23 01:18:29 | 只看该作者

回复:回复:Green Light Area


I think there is.  I got total distance 20/8 km.  The first section is 9/8 km.  The rest just took more time.
www.ddhw.com

 
回复 支持 反对

使用道具 举报

10

主题

271

帖子

1996

积分

地板
发表于 2005-2-23 19:30:07 | 只看该作者

answer


The total distance 20/8.  Sections are 4/8, 3/8, 5/8, 3/8, 3/8, 2/8 kilimeters.
Since Robert bearly get through the last traffic light, we can consider it took a little less than 2 minutes.
www.ddhw.com

 
回复 支持 反对

使用道具 举报

24小时热帖
    一周热门
      原创摄影
        美食美文
          您需要登录后才可以回帖 登录 | 立即注册

          本版积分规则

          Archiver|手机版|珍珠湾ART

          Powered by Discuz! X3 © 2001-2013 All Rights Reserved