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Two gear wheels mesh as shown. The big gear has 40 teeth and turns 20 times. How many times does the small gear with 16 teeth turn in that time?

Class 8Direct and Inverse ProportionsDirect and Inverse Proportions
  • A8 times
  • B32 times
  • C50 times
  • D44 times

Step-by-Step Solution

The same number of teeth pass the meeting point on both gears: . So the small gear turns times — fewer teeth, more turns (inverse proportion). (8 treats it as direct proportion.)
Answer: C) 50 times

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