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How long, in minutes, did it take a bicycle wheel to roll along a flat, straight 300-meter path?

Time=Distance:Rate, so to get the time we nee to find the rate of the bicycle.

(1) The wheel made one full 360-degree rotation every 1.5 meters --> basically tells us that the circumference of the wheel is 1.5 meters. Not sufficient.

(2) The wheel made 18 360-degree rotations per minute --> the rate of the bicycle is 18 circumference per minute, but since we don't know the length of the circumference then this statement is also insufficient.

Re: How long, in minutes, did it take a bicycle wheel to roll [#permalink]

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20 Apr 2012, 19:54

Went with C. Above explanation is great,

basically we need a time reference and a distance reference to figure out how much time the wheel will take to go any distance, first one gives us the size of the wheel circumference in meters and the second tells us meters per minute using both pieces we can figure out how long it will take to roll any distance amount.

(2) The wheel made 18 360-degree rotations per minute --> the rate of the bicycle is 18 circumference per minute, but since we don't know the length of the circumference then this statement is also insufficient.

I used 18 as the speed. Basically missed to calculate speed by multiplying number of rotations with circumference. Thanks for the explanation Bunuel!

Re: How long, in minutes, did it take a bicycle wheel to roll [#permalink]

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28 Jul 2013, 16:38

How long, in minutes, did it take a bicycle wheel to roll along a flat, straight 300-meter path?

(1) The wheel made one full 360-degree rotation every 1.5 meters. This tells us nothing about how long it took for the wheel to rotate. NOT SUFFICIENT

(2) The wheel made 18 360-degree rotations per minute. This tells us nothing about the size of the wheel. INSUFFICIENT

1+2 we are told the diameter of the wheel and how long it takes to make a set number of rotations. The wheel makes 18 full rotations per minute and travels 1.5 meters per rotation. Therefore it travels 24m/minute. 300/24 = 12.5

Re: How long, in minutes, did it take a bicycle wheel to roll [#permalink]

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05 Aug 2013, 23:38

enigma123 wrote:

How long, in minutes, did it take a bicycle wheel to roll along a flat, straight 300-meter path?

(1) The wheel made one full 360-degree rotation every 1.5 meters. (2) The wheel made 18 360-degree rotations per minute.

can someone please explain the concept?

st(1), nothing about time, so not sufficient. st(2), 18 × 360-degree rotations in = 1 minute. but need this data in aspect of meter. so using both statement together, 18 × 360-degree rotations = 18 × 1.5 = 27meters.

27 meters in = 1 minute so, 300 meters in = 300/27 = fixed value. so both together are sufficient. Answer C
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Re: How long, in minutes, did it take a bicycle wheel to roll [#permalink]

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13 Jun 2016, 01:05

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