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# Approximately how many revolutions will be made by a car tire with a

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Math Expert
Joined: 02 Sep 2009
Posts: 50609
Approximately how many revolutions will be made by a car tire with a  [#permalink]

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10 Jan 2016, 07:59
00:00

Difficulty:

35% (medium)

Question Stats:

59% (01:37) correct 41% (02:00) wrong based on 54 sessions

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Approximately how many revolutions will be made by a car tire with a 14-inch diameter if the car travels 1⁄2 mile?

A. 120
B. 180
C. 360
D. 720
E. 1,440

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Approximately how many revolutions will be made by a car tire with a  [#permalink]

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10 Jan 2016, 10:03
Diameter of car tire = 14 inches
Radius of car tire = 7 inches = 7*2.54 cm = 17.8 cm
Circumference of the car tire = 2*pi * 17.8 = 2 *3.14 *17.8= 111.78 cm
Distance traveled by car = .5 mile = .5 *1.6 km = .8 km = 800 m = 8 * 10^4 cm

Number of revolutions =Distance traveled / Circumference of tire = 8 * 10^4 / 111.78 = 715.6

Since the answer choices are far apart we should use estimation in this question .
Ideally ,in the GMAT the conversion between units would be provided .

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Re: Approximately how many revolutions will be made by a car tire with a  [#permalink]

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13 Jan 2016, 23:18
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Hi All,

Since many Test Takers aren't familiar with converting miles to feet or inches, the GMAT will almost always include that conversion rate as part of the question.

1 mile = 5280 feet

With that information, the rest of the work involves a bit of geometry and some arithmetic/unit conversions.

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Re: Approximately how many revolutions will be made by a car tire with a  [#permalink]

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09 Dec 2017, 22:30
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Re: Approximately how many revolutions will be made by a car tire with a &nbs [#permalink] 09 Dec 2017, 22:30
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