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If a bicycle has two wheels of different sizes, at how many rotations

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If a bicycle has two wheels of different sizes, at how many rotations  [#permalink]

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New post 18 Sep 2018, 20:54
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If a bicycle has two wheels of different sizes, at how many rotations per minute does the larger wheel rotate?

(1) The smaller wheel rotates at 3 meters per second.
(2) The larger wheel has a diameter twice as long as the smaller one.

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Re: If a bicycle has two wheels of different sizes, at how many rotations  [#permalink]

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New post 01 Oct 2018, 05:39
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Bunuel wrote:
If a bicycle has two wheels of different sizes, at how many rotations per minute does the larger wheel rotate?

(1) The smaller wheel rotates at 3 meters per second.
(2) The larger wheel has a diameter twice as long as the smaller one.


Here is my take on the problem.

The question asks the number of rotations made by the larger wheel in one minute. We need to know the radius (or diameter) of the wheel and some info on distance covered to get going.

(1) No info on radius or distance covered, but the statement directly states the number of rotations the smaller wheel makes in a second. No info on larger wheel. Can't be answered as such.

(2) Can't be answered with the given info.

(1) + (2): Larger wheel's diameter = 2(diameter of smaller wheel). So, if the smaller wheel can cover 180 meters in a minute (3*60), then the larger wheel can cover twice that distance in a minute = 360 meters. But, we need to know the diameter of the larger wheel to say the number of rotations made by it in travelling 360 meters. So, the question cannot be solved with (1) & (2). Ans - E.

Please let me know if there is something amiss in my logic or thought process.
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Re: If a bicycle has two wheels of different sizes, at how many rotations &nbs [#permalink] 01 Oct 2018, 05:39
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