Question

If a 12-hour clock face reads exactly 7 o'clock, what time would the clock show 11,997 hours later?

Answer 1

clock will show `4` o'clock

Explanation:

We only need 3 hours to have 1000 full 12 hour clock rotation so that it will be again at 7 o'clock. Since we need 3 hours to be at 7 again. The answer is at 4 o'clock.

God bless....I hope the explanation is useful.

Answer 2

`4" o'clock"`

Explanation:

`color(red)("Note that it is not stated if morning or evening!")`

The time of 7 o'clock happens every 12 hours

`11997/12=999.75 " full cycles "larr" note that the .75 is .75 of 12"`

So the clock does 999 full rotations (cycles) + a bit more

and `0.75xx12=9` so the extra bit is 9 hours
'........................................................................
Just to confirm the 9 hours remainder:

`999xx12= 11988`

So `r=11997-11988 = 97-88 = 9 hours`
,.............................................................................

So the 7 o'clock occurs 999 times with the additional time of 9 hours

So the clock will show 7 o'clock + 9 hours = 16 hours

On a 12 hour clock the time is `16 -12 =4" o'clock"`

Answer 3

"4 o'clock"

Explanation:

Note that every day of 24 hours the clock will show 7 o'clock twice.

`11,997 "hours" div 24 =499.875` days.

The number of days is irrelevant.

`0.875` days = `0.875 xx 24 = 21`hours.

21 hours after 7 o'clock is "28 o'clock" (ha ha)

28 - 24 = 4 o'clock.

It makes no difference whether it is morning or afternoon.