英语翻译Suppose that you want to travel from station A to statio
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英语翻译
Suppose that you want to travel from station A to station B,with a high-speed underground train which works only in daytime.You look up your watch just as the train begins to move,and you realize that the minute hand is exactly on top of a minute indicator.After travelling eight kilometers you come to station B and look up your watch again.This time,you realize that the minute hand is not on a minute indicator but exactly on top of the hour hand.Given that the speed of the train (in kilometers per hour) is an odd number greater than 60,what time was it on the beginning of your trip?
Suppose that you want to travel from station A to station B,with a high-speed underground train which works only in daytime.You look up your watch just as the train begins to move,and you realize that the minute hand is exactly on top of a minute indicator.After travelling eight kilometers you come to station B and look up your watch again.This time,you realize that the minute hand is not on a minute indicator but exactly on top of the hour hand.Given that the speed of the train (in kilometers per hour) is an odd number greater than 60,what time was it on the beginning of your trip?
假设你想从A站到B站乘一个只有白天运营的高速地铁.从地铁出发的时候你开始看着你的手表,并且你发现分针很精确地和表盘的某一个数字重合.当8公里的旅途结束后,你来到了B站,并再次看了你的表.这次,你发现分针不在表盘的数字上,但是刚好与时针重合.已知火车的速度(公里/小时)是一个大于60的奇数,问开始出发的时候是几点?
刚才改了一下,这次没问题了.
on top of a minute indicator:在表盘的某一个数字上(重合)
on top of the hour hand :在时针上面(重合)
补充一下,你的这道题是无解的.
如果设速度为v km/h,出发时间 a点5b分(a,b是1-12的某一整数)
最后得到的方程是:
b/11-a/12=8/v
如果v是奇数是无解的
如果v没有"是奇数"这条限制
那么v=132(因为是地铁,所以不能达到264这么高的速度,66又太低)
下面有:12b-11a=8 推出 3b=2+11a/4
因为3b是整数,所以a是4的倍数,即4,8,12,依次代入,只有
a=b=8时候有解
所以当v不是奇数,且速度大于60的时候,最有可能的速度是132km/h,最有可能的出发时间是上午8点40分
刚才改了一下,这次没问题了.
on top of a minute indicator:在表盘的某一个数字上(重合)
on top of the hour hand :在时针上面(重合)
补充一下,你的这道题是无解的.
如果设速度为v km/h,出发时间 a点5b分(a,b是1-12的某一整数)
最后得到的方程是:
b/11-a/12=8/v
如果v是奇数是无解的
如果v没有"是奇数"这条限制
那么v=132(因为是地铁,所以不能达到264这么高的速度,66又太低)
下面有:12b-11a=8 推出 3b=2+11a/4
因为3b是整数,所以a是4的倍数,即4,8,12,依次代入,只有
a=b=8时候有解
所以当v不是奇数,且速度大于60的时候,最有可能的速度是132km/h,最有可能的出发时间是上午8点40分
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