Question

What time is `5 3/4` hours after 11:32 pm?

Answer 1

So the time is 5:17 a.m.

Explanation:

Note that:

11:32 pm is 28 minutes before midnight.

Adding the `5 3/4` hours will take the time into early morning.

So all we need to do to find the new time (am) is to subtract 28 minutes from `5 3/4` hours.

`5 3/4 -> 5" hours and "45" minutes"`

Subtracting the minutes:

`45`
`ul(28)" "larr" Subtract"`
`17`

So the time is 5:17 a.m.

Answer 2

Working on a 12 hour clock:

We can add the number of hours and minutes onto 11.32 p.m.

`5 3/4 hr = 5 hr and 45 min`

`" "11" "32+`
`" "ul( 5" "45)`
`color(white)(xxxxxxx)cancel77 " convert 77 minutes to 1 hr 17 min"`
`" "ul(1" " 17)`
`color(white)(xxxx)17" "17" subtract 12 hours"`
`" "ul(-12 " ")`

`" "5" "17 rArr 5:17` a.m.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Working on a 24 hour clock:

We can add the number of hours and minutes onto 23.32
`5 3/4 hr = 5 hr and 45 min`

`" "23" "32+`
`" "ul( 5" "45)`
`color(white)(xxxxxxx)cancel77" convert 77 minutes to 1 hr 17 min"`
`" "ul(1" " 17)`
`" "29" "17" subtract 24 hours"`
`" "ul(-24 " ")`

`" "05" "17 rArr 05:17`