Civil Service Exam Reviewer · Ratio and Proportion · hard

A gear with 58 teeth rotating at 200 rpm drives a gear with 50 teeth. How fast does the second gear rotate?

  1. 172.41 rpm
  2. 232 rpm
  3. 200 rpm
  4. 208 rpm

Answer

B. 232 rpm

Solution

Teeth × rpm is the same for meshing gears: 58 × 200 = 50 × N → N = 232 rpm (inverse proportion).

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