document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #304572 by stanbon(75887) $\"\"$ $\"About$

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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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\n" ); document.write( "Clock A takes 60 minutes for a rotation.
\n" ); document.write( "Clock B takes 57 minutes for a rotation.
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\n" ); document.write( "B gains 3 minutes on A every hour.
\n" ); document.write( "In 20 rotations B will gain 60 minutes on A
\n" ); document.write( "and the minutes hands will coincide.
\n" ); document.write( "---
\n" ); document.write( "The clocks will have the same time at
\n" ); document.write( "12:00 (midnight) + 20 hrs = 8:00 AM
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