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20 Nov 2017, 01:18
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A
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Difficulty:
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Question Stats:
82% (01:18) correct
18%
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based on 75
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The radius of a unicycle wheel is 1 foot. When the unicycle travels continuously in one direction for 500 feet, the wheel makes v revolutions. Of the following, which is the best approximation to v?
(A) 80
(B) 160
(C) 310
(D) 3,140
(E) 6,280
(A) 80
(B) 160
(C) 310
(D) 3,140
(E) 6,280
20 Nov 2017, 01:23
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v(2*pi* 1) = 500
v= 80 approx
--A--
v= 80 approx
--A--
Updated on: 20 Nov 2017, 08:14
Originally posted by GMATinsight on 20 Nov 2017, 05:32.
Last edited by GMATinsight on 20 Nov 2017, 08:14, edited 2 times in total.
Last edited by GMATinsight on 20 Nov 2017, 08:14, edited 2 times in total.
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Bunuel
Radius = 1 foot
Distance travelled = 500 feet
Total Number of revolutions = v
Total Distance travelled = Distance travelled in 1 Revolution * Number of revolutions
Also, Distance travelled in 1 revolution = Circumference of the wheel = 2*π*r = 2π
500 = 2π * v
i.e. v = 500/2π = 79.57 = 80
Answer: Option A
