Question 441216: John has two clocks: Clock A and Clock B. Clock A runs properly. Clock B, however, runs fast. It completes a complete rotation of the minute hand in 57 minutes. When, if ever, will the two clocks have the same time? Both clocks start at 12 o'clock.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! John has two clocks: Clock A and Clock B. Clock A runs properly. Clock B, however, runs fast. It completes a complete rotation of the minute hand in 57 minutes. When, if ever, will the two clocks have the same time? Both clocks start at 12 o'clock.
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Clock A takes 60 minutes for a rotation.
Clock B takes 57 minutes for a rotation.
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B gains 3 minutes on A every hour.
In 20 rotations B will gain 60 minutes on A
and the minutes hands will coincide.
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The clocks will have the same time at
12:00 (midnight) + 20 hrs = 8:00 AM
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