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# If the diameter of a bicycle, including the tire, is 28

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Manager
Joined: 30 Mar 2007
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If the diameter of a bicycle, including the tire, is 28 [#permalink]  14 May 2007, 23:00
If the diameter of a bicycle, including the tire, is 28 inches, approximately how many revolutions will the wheel make while the bicycle travels 500 feet along a flat road? (12inches= 1 foot)
A. 18
B. 68
C. 117
D. 136
E. 214

Manager
Joined: 02 May 2007
Posts: 152
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Re: revolution problem [#permalink]  14 May 2007, 23:08
Jamesk486 wrote:
If the diameter of a bicycle, including the tire, is 28 inches, approximately how many revolutions will the wheel make while the bicycle travels 500 feet along a flat road? (12inches= 1 foot)
A. 18
B. 68
C. 117
D. 136
E. 214

(B) it is

500 feet = 6,000 inches

=> The # of revolutions made = 6,000/(28 x pi) = 68 (approximately)
Director
Joined: 26 Feb 2006
Posts: 905
Followers: 4

Kudos [?]: 52 [0], given: 0

Re: revolution problem [#permalink]  14 May 2007, 23:29
kirakira wrote:
Jamesk486 wrote:
If the diameter of a bicycle, including the tire, is 28 inches, approximately how many revolutions will the wheel make while the bicycle travels 500 feet along a flat road? (12inches= 1 foot)
A. 18
B. 68
C. 117
D. 136
E. 214

(B) it is

500 feet = 6,000 inches

=> The # of revolutions made = 6,000/(28 x pi) = 68 (approximately)

are you still sure that your answer is not among the one.
Director
Joined: 12 Jun 2006
Posts: 536
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how did you guys figure this out?
Quote:
The # of revolutions made = 6,000/(28 x pi) = 68 (approximately)

is the quoted a formula I should know?
Director
Joined: 26 Feb 2006
Posts: 905
Followers: 4

Kudos [?]: 52 [0], given: 0

ggarr wrote:
how did you guys figure this out?
Quote:
The # of revolutions made = 6,000/(28 x pi) = 68 (approximately)

is the quoted a formula I should know?

total distance = 12 x 500
circumference of the wheel = 2 pi r = pi d = 28 pi
so n = 6000/(28 pi) = 68 approx...
Senior Manager
Joined: 19 Feb 2007
Posts: 327
Followers: 1

Kudos [?]: 14 [0], given: 0

ggarr wrote:
how did you guys figure this out?
Quote:
The # of revolutions made = 6,000/(28 x pi) = 68 (approximately)

is the quoted a formula I should know?

No of Revolutions = Total distance / Distance travelled per revolution

Total distance = 500 * 12 = 6000 inches
Distance travelled per revolution = pi * d = pi * 28 inches

Ans is B
Manager
Joined: 30 Mar 2007
Posts: 183
Followers: 1

Kudos [?]: 11 [0], given: 0

well ok i converted everything to feet, rather~
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# If the diameter of a bicycle, including the tire, is 28

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