Alice in wonderland ❤️

Sbm123 said:
0.083 seconds?
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Maybe, lets see.

So in 0.083 real real time seconds the watch adds 1 minute. So in 5*0.083 seconds the watch will add 5 minutes. Now your answer of 0.083 seconds is correct precisely if 5*0.083 seconds equals 1 hour. Does 5*0.083 seconds equal 1 hour?
 
Sbm123 said:
I’m not sure where I’m going wrong
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You just need to figure out after how many real time minutes (or hours or sec,...) will the watch be off by an additional minutes knowing that after each hour (60 minutes) the watch is off by 5 more minutes.
 
Jomo said:
Maybe, lets see.

So in 0.083 real real time seconds the watch adds 1 minute. So in 5*0.083 seconds the watch will add 5 minutes. Now your answer of 0.083 seconds is correct precisely if 5*0.083 seconds equals 1 hour. Does 5*0.083 seconds equal 1 hour?
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No the watch adds an extra min every 12 mins
 
Sbm123 said:
No the watch adds an extra min every 12 mins
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OK, good! Suppose it is for example exactly 6:22pm when you set the watch. After 12 minutes what time will the watch read? How many minutes did the watch increase by during these 12 minutes?
 
The time is 12.28pm on the watch

At 12.15 on the watch it’s actually 11am

12.15 to 12.28 is 13 minutes

but an extra minute has been added on because 12mins has passed in real time

so it’s 11.12am

???
 
So is your answer 11:12am (not the answer you were given but your honest answer)? I ask because you put a question mark after 11:12am.
 
Yes the above is my reasoning
12.15 to 12.28 is 13 mins
But an extra min has been added on because 12 mins has passed so the answer isn’t 11.13 it’s 11.12
This is my reasoning
 
Sbm123 said:
Yes the above is my reasoning
12.15 to 12.28 is 13 mins
But an extra min has been added on because 12 mins has passed so the answer isn’t 11.13 it’s 11.12
This is my reasoning
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Yes that is the correct answer for the correct reason. You got to 12:15 very easily and then all you needed to figure out was that the watch was off 1 minute every 12 real time minutes.
 
Jomo said:
Yes that is the correct answer for the correct reason. You got to 12:15 very easily and then all you needed to figure out was that the watch was off 1 minute every 12 real time minutes.
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Thank you. I’ve been so stressed about not understanding how to get to the answer since yesterday lol
 
Sbm123 said:
? I haven’t done maths since A levels - I’m doing this puzzle book for cognitive therapy after contracting covid-19, I have no idea what you are asking I’m so sorry
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Since you've solved it now by the step-by-step way, I'll show you a more direct way:

My pocket watch takes on 5 mins for every hour and I haven’t reset it since 8pm yesterday evening’​
Alice didn’t have a pocket watch of her own but she thought she might be able to help​
‘What time does your pocket watch say it is now’ she asked.​
‘Twelve twenty-eight’ the rabbit told her.​
What time did that mean it really was?​

The watch says 12:28 (PM), which is 12 hours and 28 minutes after midnight, and therefore 16 hours and 28 minutes since 8 PM.

Converting that to minutes, it's 16*60+28 = 988 minutes.

Now, every hour (60 minutes) of real time corresponds to 65 minutes on the watch; so the elapsed time according to the watch is 65/60 times real time, and real time is 60/65 of watch time. That simplifies to 12/13.

So the real elapsed time is 12/13 of 988 minutes, which comes to 912 minutes. Dividing by 60, that is 15 1/5 hours, which is 15 hours and 12 minutes. That long after 8 PM is 11:12 AM.

This could also be expressed algebraically, which is what I originally suggested, not knowing what level of math you could do: If the real elapsed time is x, the watch time is 13/12 x, and we are solving the equation 13/12 x = 988. But the algebra isn't really needed, just the thinking.
 
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