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The mathematical police

The mathematical police

"Good morning, officer," said Mr. McGuire. "Can you tell me what time it is'?"

"I can do that exactly," replied Agent Clancy, who was known as the mathematical cop.
"Add a quarter of the time between midnight and now at half the time between now and midnight and you will know the exact time."

Can you calculate the exact time this intriguing conversation occurred?

Solution

The conversation occurred at 9:36 since a quarter of the time since midnight would be 2 hours and 24 minutes, which added to half the time until midnight (7 hours and 12 minutes) gives us 9:36.

If it wasn't for the fact that McGuire pointed out that the conversation took place in the morning, it could be assumed that it was in the afternoon and 7:12 p.m. It could also be a correct answer.