An alarm clock runs 4 minutes slow every hour riddle

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Riddle: An alarm clock runs 4 minutes slow every hour. It was set right 3 1/2 hours ago. Now another clock which is correct shows noon.

In how many minutes, to the nearest minutes, to the nearest minute, will the alarm clock show noon?

Answer: In 3 1/2 hours, the alarm clock has become 14 minutes slow. At noon the alarm clock will fall behind approximately an additional minute.

Its hands will show noon in 15 minutes.

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