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605-655 (Medium)|   Geometry|      
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Bunuel
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The radius of a wheel is 18 inches. Find the number of feet covered by 01 Dec 2020, 10:45
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44% (01:03) correct 56% (00:41) wrong based on 63 sessions

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The radius of a wheel is 18 inches. Find the number of feet covered by this wheel in 20 revolutions.

(A) 60π
(B) 360
(C) 720
(D) 360π
(E) 720π
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A
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The radius of a wheel is 18 inches. Find the number of feet covered by 01 Dec 2020, 11:54
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Bunuel
The radius of a wheel is 18 inches. Find the number of feet covered by this wheel in 20 revolutions.

(A) 60π
(B) 360
(C) 720
(D) 360π
(E) 720π
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\(= 20*2*π*18\)

\(= 720π\), or \(60π\) feet , Answer must be \((A)\)
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The radius of a wheel is 18 inches. Find the number of feet covered by 01 Dec 2020, 11:57
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Bunuel
The radius of a wheel is 18 inches. Find the number of feet covered by this wheel in 20 revolutions.

(A) 60π
(B) 360
(C) 720
(D) 360π
(E) 720π
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Distance covered by a circular figure = n * Circumference, where n is the number of revolutions and circumference = 2πr

Distance = 20 * 2 * π * 18 = 720π

12 inches = 1 foot

720π inches = 720π / 12 = 60π Feet


Option A

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The radius of a wheel is 18 inches. Find the number of feet covered by 01 Dec 2020, 12:30
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Bunuel
The radius of a wheel is 18 inches. Find the number of feet covered by this wheel in 20 revolutions.

(A) 60π
(B) 360
(C) 720
(D) 360π
(E) 720π
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The amount of feet covered by 20 revolutions is going to be determined by the circumference of the wheel. We know the radius is 18 inches. The question is asking for feet, so that means we have a wheel with a 1.5 foot radius. Circumference is 2*pi*r.

2*pi*1.5 = 3*pi feet

This is one revolution. So 20 revolutions is 60*pi feet. (A) is our answer.
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The radius of a wheel is 18 inches. Find the number of feet covered by 17 Jan 2021, 03:02
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Is this a type of question expected on the GMAT? All questions when they do different units they present an equivalence. As I am not familiar with the American system, I am not aware of the conversion from feet to inches or viceversa.
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The radius of a wheel is 18 inches. Find the number of feet covered by 18 Jan 2021, 14:14
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Jc2888
Is this a type of question expected on the GMAT? All questions when they do different units they present an equivalence. As I am not familiar with the American system, I am not aware of the conversion from feet to inches or viceversa.
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12 inches per foot is one that you should know. Other more obscure conversions are usually given in the problem, such as 5280 feet per mile. Here is a brief discussion from the past:

https://gmatclub.com/forum/us-values-as-someone-who-takes-the-gmat-in-europe-dimes-miles-etc-217475.html
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The radius of a wheel is 18 inches. Find the number of feet covered by 21 Jan 2021, 23:33
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step 1: Distance covered by wheel in 1 Rev = 2nr = 2*n*18 ( in inches )
step 2 : Distance covered by wheel in 1 Rev = 2nr = ( 2*n*18 )/12 ( in feet, since 1feet - 12 inches)

step 3 : Distance covered by wheel in 20 Rev = Step 2 * 20. That will give us 60n.

Choice A is the Ans.
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