A man asked a question, if the time...?

Question

A Professor replied:
A quarter of the time from noon till now is added on to an half of the time from now till noon tomorrow, the answer is the time now.

What is the time when the professor replied?

Answer 1

9:36 PM

Answer 2

9:36
is one answer.
Let x = time now (in hours since noon)

x/4 +(24-x)/2 = x
x/4 + 12 - x/2 = x
5x/4 = 12
x = 48/5 = 9 + 3/5 = 9:36

This question is somewhat ambiguous however. It also depends on how you define the current time. Notice that in the answer above I assumed the time to be measured in hours since noon, i.e., it is PM. Lets say instead we define the current time as the military does, i.e., the number of the hour in the day. Noon is 1200 but 1:00pm is 13:00, 4:00pm is 16:00 etc. (noon tomorrow would be 36:00). Then we find that:
(x-12)/4 + (36 - x)/2 = x
x/4 - 3 + 18 -x/2 = x
15 = 5x/4
x = 12, and the time is noon!
(The time from noon until now is 0, a quarter of that is 0. The time from now until noon tomorrow is 24, half of that is 12, and 0 + 12 = 12, the time now.)

Answer 3

The professor replied at 9:36 PM

Answer 4

let t = time now
therefore,
1/4t+1/2(24-t)=t
t+2(24-t)=4t
>>>5t=48
t=9 3/5

therefore, the time now is
9:36 pm

i hope that this helps

Answer 5

Dinner time?

Answer 6

6 pm?