A: "The time now equals quarter of the time that passed since noon till now plus half of the time left from now till tomorrow's noon."

Please express R's response in** HH:MM** format.

Abridged from Dudeney's " Amusements in Mathematics" (1917)

Let t = hours since noon

Then t/4 + (24-t)/2 = t

12 = (4/5)t

t = 48/5 = 9 3/5 = 9:36 pm

Check:

Hours since noon = 48/5

Hours till next noon = 24 - t = 72/5

(1/4)*(48/5) + (1/2)*(72/5) = 12/5 + 36/5 = 48/5

So, 9:36pm is the final answer