Question 35926
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.