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# A bicycle wheel has a diameter 0.71m. How many complete

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Manager
Joined: 04 Jan 2013
Posts: 68
A bicycle wheel has a diameter 0.71m. How many complete  [#permalink]

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Updated on: 07 Jan 2013, 02:10
1
00:00

Difficulty:

45% (medium)

Question Stats:

64% (01:42) correct 36% (01:49) wrong based on 79 sessions

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A bicycle wheel has a diameter of 0.71m. How many complete revolutions does it make in 1km?

A. 246
B. 448
C. 1408
D. 710
E. 223

Originally posted by chiccufrazer1 on 06 Jan 2013, 05:37.
Last edited by Bunuel on 07 Jan 2013, 02:10, edited 1 time in total.
Edited the question.
Manager
Joined: 12 Mar 2012
Posts: 79
Location: India
Concentration: Technology, Strategy
GMAT 1: 710 Q49 V36
GPA: 3.2
WE: Information Technology (Computer Software)
Re: A bicycle wheel has a diameter 0.71m.How many complete revol  [#permalink]

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06 Jan 2013, 05:43
1 revolution = 3.14 * diameter.
Number of revolutions in 1km = 1000m / ( 3.14 * 0.71m ) = 448.5. Hence 448 complete revolutions.
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Joined: 02 Sep 2009
Posts: 58381
Re: A bicycle wheel has a diameter 0.71m. How many complete  [#permalink]

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06 Jul 2017, 23:23
Senior SC Moderator
Joined: 22 May 2016
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A bicycle wheel has a diameter 0.71m. How many complete  [#permalink]

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07 Jul 2017, 16:33
chiccufrazer1 wrote:
A bicycle wheel has a diameter of 0.71m. How many complete revolutions does it make in 1km?

A. 246
B. 448
C. 1408
D. 710
E. 223

Circumference is $$d*\pi$$ = (.71m)($$\pi$$), rounding:

$$\frac{7}{10}$$m * $$\frac{22}{7}$$ = $$\frac{22}{10}$$m, or 2.2 m = circumference

1km = 1,000m, which is distance

Distance/circumference = # of revolutions

$$\frac{1,000 m}{2.2 m}$$ = 454 revolutions

Answer B is the only one that's close.
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A bicycle wheel has a diameter 0.71m. How many complete   [#permalink] 07 Jul 2017, 16:33
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