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What is the number of 360-degree rotations that a unicycle wheel made

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Bunuel
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What is the number of 360-degree rotations that a unicycle wheel made [#permalink] New post   27 Apr 2017, 02:55
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E

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What is the number of 360-degree rotations that a unicycle wheel made while rolling 150 feet in a straight line without slipping?

(1) The diameter of the unicycle wheel, including the 2 inch tire, was 18 inches.
(2) The wheel traveled 3 inches after it rotated 60°.
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D
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mrinal0308
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What is the number of 360-degree rotations that a unicycle wheel made [#permalink] New post   27 Apr 2017, 10:40
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IMO, the answer should be D.
Since the distance is given, we only need info about the circle circumference somehow.

1. Sufficient. The diameter is given, we can find out the circumference and the divide the total distance by it to find the no. of rotations.
2. Sufficient: The distance per 60 degree is given, we can apply the formula for a circumference of a sector to find the total circumference of the tyre and find the no. of rotations.

Hence, Ans should be D.
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mogarza08
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Re: What is the number of 360-degree rotations that a unicycle wheel made [#permalink] New post   30 Apr 2017, 09:11
we need to find the circumference in order to solve.

stmt 1 gives us diameter, so we can find circumference - sufficient

stmt 2 - i used a proportion - 3/60 x/360 x=18. sufficient

not sure if my logic on stmt 2 is accurate, but it led me to choose answer choice D.
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Re: What is the number of 360-degree rotations that a unicycle wheel made [#permalink] New post   05 Oct 2022, 07:16
Bunuel shouldn't the answer be E? The question asks for information in feet but we are only given info in inches.
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Bunuel
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Re: What is the number of 360-degree rotations that a unicycle wheel made [#permalink] New post   05 Oct 2022, 07:24
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Axelkr00 wrote:
Bunuel shouldn't the answer be E? The question asks for information in feet but we are only given info in inches.


There are 12 inches in a foot, so we can convert anything in feet into inches and vise-versa.
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Re: What is the number of 360-degree rotations that a unicycle wheel made [#permalink]
05 Oct 2022, 07:24
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