The guards change over between 10:16 pm and 10:25 pm which means the hallway is clear during that time. How many minutes do you have exactly to cross the yard without being noticed?

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21-12-2018
Mathematics

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The guards change over between 10:16 pm and 10:25 pm which means the hallway is clear during that time. How many minutes do you have exactly to cross the yard without being noticed?

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ApusApus ApusApus · Answer 1 · 2018-12-30T08:59:29+01:00

Answer:

8 minutes.

Step-by-step explanation:

We have been given that the guards change over between 10:16 pm and 10:25 pm which means the hallway is clear during that time.

We can see that the very first minute to cross the hallway without being noticed will be after 10:16 pm as guards start change over at 10:16 pm.

The very last minute to cross the hallway without being noticed will be before 10:25 pm as guards end change over at 10:25 pm.

So let us count number of minutes between 10:16 pm to 10:25 pm without including 10:16 pm and 10:25 pm.

So these minutes will be: 10:17 pm, 10:18 pm, 10:19 pm, 10:20 pm, 10:21 pm, 10:22 pm, 10:23 pm, 10:24 pm.

Since given time interval includes 8 minutes, therefore, we have only 8 minutes to cross the yard without being noticed.

AkshayG AkshayG · Answer 2 · 2019-12-26T12:53:20+01:00

The person have only [tex]\boxed{{\mathbf{8 minutes}}}[/tex] to cross the yard without being noticed.

Further explanation:

It is given that the guards change over between [tex]10:16{\text{ pm}}[/tex] and [tex]10:25{\text{ pm}}[/tex] that means hallway is clear on that time.

The person can cross the halfway in the absence of the guard when the guards change over.

The person can cross the hallway after [tex]10:16{\text{ pm}}[/tex] without being noticed therefore, it is the very first minute to cross the hallway.

The person can cross the hallway before [tex]10:25{\text{ pm}}[/tex] without being noticed therefore, it is the very last minute to cross the hallway.

Now count the timings in which the person can cross hallway without being noticed.

[tex]\begin{aligned}10:17{\text{ pm,}}10:18{\text{ pm}},10:19{\text{ pm}},10:20{\text{ pm,}} \hfill \\10:21{\text{ pm, }}10:22{\text{ pm,}}10:23{\text{ pm, }}10:24{\text{ pm}} \hfill\\{\text{ }}\hfill\\\end{aligned}[/tex]

Therefore, it can seen from the above timings that the time interval is 8 minutes in which the person can cross hallway as the hallway is clear.

Thus, the person have only [tex]8{\text{ minutes}}[/tex] to cross the yard without being noticed.

Learn more:

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Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Time.

Keywords: Time, minutes, hallway, cross, noticed, without being, person, time interval, clear on the time, seconds, yard, distance, change over, absence.