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

Question

Abigail Allen · Accepted Answer

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

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. Overall, we receive: #23+240+43=306# minutes or #5# hours and #6# minutes.

Genesis Allen · Answer

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

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

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:

Only for time gap size, translate this to:

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

Direct subtraction gives us:

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

There is a five-hour and six-minute difference.

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

Therefore, 9:37 + 2 hours + 33 minutes is half way there.

12:10, according to the 12-hour clock

Genesis Allen · Answer

undefined The time that falls between 9:37 p.m. and 2:43 a.m. is any time within that range, inclusive of both the starting and ending times. Therefore, the time that falls between 9:37 p.m. and 2:43 a.m. includes all times from 9:37 p.m. to midnight (12:00 a.m.) and from midnight (12:00 a.m.) to 2:43 a.m.