SOLUTION: One gear turns 33&1/3 times in a minute. Another gear turns 45 times in a minute. Initially, a mark on each gear is pointing due north. After how many seconds will the two gears ne

Question 35926: One gear turns 33&1/3 times in a minute. Another gear turns 45 times in a minute. Initially, a mark on each gear is pointing due north. After how many seconds will the two gears next have both their marks pointing due north?
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
THE 33 1/3 GEAR TAKES 1.8 SEC TO MAKE ONE REVOLUTION & THE 45 GEAR TAKES 1&333 SECONDS PER REVOLUTION. THEREFORE THE FIRST TIME BOTH GEARS WILL MAKE COMPLETE MUST BE MULTIPLES OF 3 FOR THE 45 GEAR AND MULTIPLES OF 5 FOR THE 33&1/3 GEAR THEREFORE THE FIRST TIME THEY WILL BOTH HAVE COMPLETED FULL ROTATIONS IS 3*5=15 THUS 15*1.8=27 ROTATIONS & 15*1&1/3=20 ROTATIONS.
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