One gear turns 33\frac{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?

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Answer:

The first time they will both have completed full rotations is 3×5=15 Thus 15×1.8=27 rotations & 15×1 and 1/3=20 rotations.

Step-by-step explanation:

33 1/3 gear takes 1.8 sec to make one revolution and the 45 gear takes 1 and 333 seconds per revolution.