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A bicycle tire has a diameter of 70 centimeters. Approximately how man

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A bicycle tire has a diameter of 70 centimeters. Approximately how man  [#permalink]

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New post 11 Apr 2018, 21:20
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A bicycle tire has a diameter of 70 centimeters. Approximately how many revolutions does the tire make if the bicycle travels 1 kilometer. (1 kilometer = 100 meters = 100000 centimeters)

A. 150
B. 450
C. 900
D. 1500
E. 2200

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Re: A bicycle tire has a diameter of 70 centimeters. Approximately how man  [#permalink]

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New post 11 Apr 2018, 21:22
Bunuel wrote:
A bicycle tire has a diameter of 70 centimeters. Approximately how many revolutions does the tire make if the bicycle travels 1 kilometer. (1 kilometer = 100 meters = 100000 centimeters)

A. 150
B. 450
C. 900
D. 1500
E. 2200


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DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: A bicycle tire has a diameter of 70 centimeters. Approximately how man  [#permalink]

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New post 12 Apr 2018, 00:40
Diameter = 70 cm, hence radius =35cm. In one revolution the tire will cover the length equivalent to it's perimeter which is equals 2*π*35 cm. So to cover 1km or 100000 cm the cycle will have to move = n*2*π*35 cm
>> n = 100000*7/(2*22*35) = 5000/11 = 450 approx. Hence, option B. 450
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A bicycle tire has a diameter of 70 centimeters. Approximately how man  [#permalink]

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New post 12 Apr 2018, 07:46
Bunuel wrote:
A bicycle tire has a diameter of 70 centimeters. Approximately how many revolutions does the tire make if the bicycle travels 1 kilometer. (1 kilometer = 100 meters = 100000 centimeters)

A. 150
B. 450
C. 900
D. 1500
E. 2200

(circumference)*(# of revolutions) = Distance, so

Number of revolutions =\(\frac{Distance}{circumference}\)

Circumference: \(\pi d=70\pi=(70*\frac{22}{7})\approx{220}cm\)

Distance = \(100,000 cm\)

Number of revolutions:
\(\frac{Distance}{circumference}=\frac{100,000cm}{220cm}\approx{455}\) revolutions

Answer B
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A bicycle tire has a diameter of 70 centimeters. Approximately how man  [#permalink]

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New post 12 Apr 2018, 11:25
Bunuel wrote:
A bicycle tire has a diameter of 70 centimeters. Approximately how many revolutions does the tire make if the bicycle travels 1 kilometer. (1 kilometer = 100 meters = 100000 centimeters)

A. 150
B. 450
C. 900
D. 1500
E. 2200



\(Number of revolutions =\frac{Distance}{circumference}\)

Circumference = \(\pi d=70\pi=(70*\frac{22}{7})\approx{220}cm\)

Distance = \(100,000 cm\)

Number of revolutions = \(\frac{Distance}{circumference}=\frac{100,000cm}{220cm}\)

Here we can make 220 to be 200 to ease the calculation. The answer choices helps to make the approximation.

Number of revolutions = \(\frac{Distance}{circumference}=\frac{100,000cm}{200cm}\) = \(500\)

The number must be less than 500.

450 is the closest to 500

Answer B
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Re: A bicycle tire has a diameter of 70 centimeters. Approximately how man  [#permalink]

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New post 16 Apr 2018, 16:14
Bunuel wrote:
A bicycle tire has a diameter of 70 centimeters. Approximately how many revolutions does the tire make if the bicycle travels 1 kilometer. (1 kilometer = 100 meters = 100000 centimeters)

A. 150
B. 450
C. 900
D. 1500
E. 2200


(note: although we are using the given conversion, 1 kilometer = 1,000 meters)

The circumference of the tire is 70π = 70 x 3.14 = 219.8 cm, which is about 220 cm. Thus, 1 revolution of the tire is about 220cm.

Since 1 km = 1,000 m and 1 m = 100 cm, so 1 km = 1,000 x 100 = 100,000 cm. Thus in 100,000 cm, the number of revolutions is 100,000/220 ≈ 454 ≈ 450 revolutions.

Answer: B
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Re: A bicycle tire has a diameter of 70 centimeters. Approximately how man &nbs [#permalink] 16 Apr 2018, 16:14
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