Question
A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
Answer: Option B
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Let the required number of revolutions made by larger wheel be x.
Then, More cogs, Less revolutions (Indirect Proportion)
So, 14 : 6 :: 21 : x \( \Leftrightarrow\) 14 x x = 6 x 21
x = \(\frac{6\times21}{14}\)
x = 9.
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