题目

The light in a restroom operates with a 15-minute timer that is reset every time the door opens as a person goes in or out of the room. Thus, after someone enters or exits the room, the light remains on for only 15 minutes unless the door opens again and resets the timer for another 15 minutes. If the times listed above are the times at which the door opened from 8:00 to 10:00, approximately how many minutes during this two-hour period was the light off?

选项

A.

10


B.

25


C.

35


D.

40


E.

70

解析

我们需要找出**两次连续开门的时间间隔超过15分钟的时段**,因为只有在这种情况下,灯才会处于关闭状态。 已知门在8:31被打开,那么灯会在8:46关闭,并持续关闭至8:54,这段时间灯的关闭时长为8分钟。 门在9:11被打开后,灯会在9:26关闭,且持续关闭至9:29,这段时间灯的关闭时长为3分钟。 最后,门在9:31被打开,灯会在9:46关闭,且至少会持续关闭至10:00,因此这段时间灯的关闭时长为14分钟(按截至10:00计算)。 综上,灯的总关闭时长为 \( 8 + 3 + 14 = 25 \) 分钟。 答案:B
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