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It’s the Fourth of July!A concert has just ended and the Royalty Hotel’s trolley takes concert goers from the concert site back to the hotel.Because it’s the Fourth of July,the hotel manager makes the trolley driver a special deal.The driver’
题目详情
It’s the Fourth of July!A concert has just ended and the Royalty Hotel’s trolley takes concert goers from the concert site back to the hotel.Because it’s the Fourth of July,the hotel manager makes the trolley driver a special deal.The driver’s regular pay is $10 per hour.But this night for each hour that he works,his rate of pay for the next hour goes up by $2.
It takes 10 minutes for the trolley to make a round trip from the hotel to the concert site and back (including time to let people board the trolley at the concert site and unload at the hotel).After every 750 people that the trolley transports,it must stop for an additional 10 minutes while the driver goes and deposits the money the riders paid into the hotel safe.After every 8 trips,the trolley must wait an extra 10 minutes while the hotel’s maintenance crew comes out and picks up trash from the inside of the trolley.Suppose the driver’s shift begins when the concert ends.Suppose also that the trolley can and will hold 125 people.If there are 4500 people at the concert site waiting to get back to the hotel (it’s a big hotel),how much money will the driver make when the last person gets off of the trolley?
It takes 10 minutes for the trolley to make a round trip from the hotel to the concert site and back (including time to let people board the trolley at the concert site and unload at the hotel).After every 750 people that the trolley transports,it must stop for an additional 10 minutes while the driver goes and deposits the money the riders paid into the hotel safe.After every 8 trips,the trolley must wait an extra 10 minutes while the hotel’s maintenance crew comes out and picks up trash from the inside of the trolley.Suppose the driver’s shift begins when the concert ends.Suppose also that the trolley can and will hold 125 people.If there are 4500 people at the concert site waiting to get back to the hotel (it’s a big hotel),how much money will the driver make when the last person gets off of the trolley?
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答案和解析
马车只能容纳125人,所以4500人全部运回旅馆需要4500/125=36次 载人所用时间36*10=360分钟
因为每8次后要用10分钟清理马车,所以清理马车所用时间4*10=40分钟
又因为每运750人后要用10分钟放一次钱,所以放钱所用时间为(4500/750-1)*10=50分钟
所以从音乐会结束到最后一个人下了马车车夫共上班360+40+50=450分钟=7.5小时
起始工资10美元,每小时增加2美元
所以车夫赚得工资为
(10+10+6*2)*7/2+(10+7*2)/2=124美元
因为每8次后要用10分钟清理马车,所以清理马车所用时间4*10=40分钟
又因为每运750人后要用10分钟放一次钱,所以放钱所用时间为(4500/750-1)*10=50分钟
所以从音乐会结束到最后一个人下了马车车夫共上班360+40+50=450分钟=7.5小时
起始工资10美元,每小时增加2美元
所以车夫赚得工资为
(10+10+6*2)*7/2+(10+7*2)/2=124美元
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