Central Standard Time

[mathdad]

The current time is 12 noon (CST). What time will it be 12,997 hours from now?

Let me see.

I know that 24 hours is one day.
I also know that 1 hour is 60 minutes.
It is a simple question but the set up is a bit tricky.

 

[pka]

The current time is 12 noon (CST). What time will it be 12,997 hours from now?

Look at this calculation. That says that after any number of twenty-four hour periods have passed then we are thirteen hours ahead of the present.

 

[Dr.Peterson]

The current time is 12 noon (CST). What time will it be 12,997 hours from now?

Let me see.

I know that 24 hours is one day.
I also know that 1 hour is 60 minutes.
It is a simple question but the set up is a bit tricky.

Minutes don't matter. Just divide 12997 by 24 and look at the remainder. The quotient is the number of full days elapsed, and the remainder is the number of additional hours.

 

[mathdad]

Minutes don't matter. Just divide 12997 by 24 and look at the remainder. The quotient is the number of full days elapsed, and the remainder is the number of additional hours.

Let t = the time it will be 12,997 hours from the given 12 noon.

t = 12,997 ÷ 24

t = 541.5416666667

 

[Dr.Peterson]

You haven't yet found the remainder. You've just converted the time from hours to days.

One quick way to do that (without using the mod operation, which some calculators, including the Windows calculator, have) is to truncate, multiply, and subtract, much as you do in long division:

remainder = dividend - quotient*divisor = 12997 - 24*541​

What do you get? How do you interpret that in terms of the problem?

 

[pka]

Let t = the time it will be 12,997 hours from the given 12 noon.
t = 12,997 ÷ 24
t = 541.5416666667

You completely do not follow what either one of us showed you. Do you?
The point in dividing by 24 is the remainder.
The only number that matters is the remainder when dividing by 24, that is 13.
So the answer is 1am.