Question

What time falls between exactly 9:37 p.m. and 2:43 a.m.?

Answer 1

I found `306` minutes or `5` hours and `6` minutes.

Explanation:

We can start thinking in minutes:
From `9:37`pm to `10:00`pm we get `23` minutes;
From `10:00`pm to `02:00`am we get `4` hours or `4*60=240` minutes. We need to add `43` minutes.

In total ve get:

`23+240+43=306` minutes
or `5` hours and `6` minutes.

Answer 2

`1/2" way between is "12:10" am"`

Explanation:

The question is proposed using a 12 hour clock. To maintain this state would entail a two stage calculation as the clock changes it count start value part way through the time interval. It is much more strait forward to use the 24 hour clock then convert it back to 12 hour system:

Given: `9:37"pm" -> 2137 " hours"`
`color(white)(.xxx.)2:43"am"->0243" hours"`
To make the difference easier we need numbers with the same time gap but with the 9:37 being the lesser value:

For time gap size only, convert this to:

`2:43"pm"-> 1443 " hours"`
`underline(9:37"am" -> 0937 " hours")` This is not true time but time difference

By direct subtraction we have:

`0506" hours difference".` Remember this is 24 hour clock system

This diference is 5 hours and 6 minutes

We need `1/2` of this giving `2 1/2 "hours" + 3 "minutes"`

So half way between is 9:37 + 2 hours + 33 minutes

Giving: 12:10 by the 12 hour clock