Question

Three 24 hour clocks show the time to be 12 noon. One of the clocks is always correct, one loses a minute every 24 hours, and one gains a minute every 24 hours. How many days will pass before all three clocks show the correct time again?

Answer 1

It would take 2 months for the clocks to aline again. This is because even though one clock gains one minute a day and the other clock loses one minute a day they are losing it the same speed just opposite directions. So therefore all the clocks would aline again at 12 o'clock 2 months later.