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How long, in minutes, did it take a bicycle wheel to roll

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How long, in minutes, did it take a bicycle wheel to roll [#permalink] New post 01 Apr 2012, 16:39
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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?
[Reveal] Spoiler: OA

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Re: Rotations of a bicycle wheel [#permalink] New post 01 Apr 2012, 16:49
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.

(1)+(2) Th rate 18*circumference=18*1.5=27 meter/minute. Sufficient.

Answer: C.
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Re: How long, in minutes, did it take a bicycle wheel to roll [#permalink] New post 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.
Re: How long, in minutes, did it take a bicycle wheel to roll   [#permalink] 20 Apr 2012, 19:54
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