Brain Teasers
Cryptic Time
Raine was trying to reset her watch clock one afternoon, after it had stopped running the day before. Even though she didn't know what the real time was, her father had given her a clue. "The right time is calculated by adding 1/4 of the time since noon today to 1/2 of the time till midnight tonight."
When her father told her this clue, she thanked him and set her watch correctly. What time was it?
When her father told her this clue, she thanked him and set her watch correctly. What time was it?
Hint
x = time since noon(12-x)= ?
Answer
4:48 pm.The time is divided up so x = the time in hours.
x = From noon till now
(12-x) = Time till midnight
Therefore, putting the clue into what we know, we get the equation:
x = 1/4 x + 1/2 (12-x)
Expand:
x = 1/4 x + 6 - 1/2 x
5/4 x = 6
x =24/5 = 4.8 hours or 4 hours 48 minutes.
Therefore, the time is 4:48 pm.
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