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16 Sep 2014, 00:42
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Difficulty:
25%
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Question Stats:
78% (01:57) correct
22%
(01:59)
wrong
based on 147
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The radius of the front wheels of a cart is half the radius of its rear wheels. If the front wheels have a circumference of 1 meter, and the cart has traveled a distance of 1 kilometer, what is the number of revolutions made by each rear wheel? (The circumference of a circle is \(2\pi r\))
A. \(\frac{250}{\pi}\)
B. \(\frac{500}{\pi}\)
C. 250
D. 500
E. 750
A. \(\frac{250}{\pi}\)
B. \(\frac{500}{\pi}\)
C. 250
D. 500
E. 750
16 Sep 2014, 00:43
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Official Solution:
The radius of the front wheels of a cart is half the radius of its rear wheels. If the front wheels have a circumference of 1 meter, and the cart has traveled a distance of 1 kilometer, what is the number of revolutions made by each rear wheel? (The circumference of a circle is \(2\pi r\))
A. \(\frac{250}{\pi}\)
B. \(\frac{500}{\pi}\)
C. 250
D. 500
E. 750
We actually do not need to use any formulas here - just need to understand how the calculations work for the circumference. Since the radius of the rear wheels is twice the radius of the front wheels, the circumference of the rear wheels is also twice that of the front wheels, making it 2 meters. To calculate the number of revolutions made by each rear wheel when traveling 1,000 meters, divide the total distance by the circumference: (1,000 meters)/(2 meters) = 500 revolutions.
Note that this is not a Geometry question. While it uses basic knowledge of lines and figures, it is a Word Problem question. There are 8 questions within GMAT Prep Focus Edition that use similar principles. Here is one example.
Answer: D
The radius of the front wheels of a cart is half the radius of its rear wheels. If the front wheels have a circumference of 1 meter, and the cart has traveled a distance of 1 kilometer, what is the number of revolutions made by each rear wheel? (The circumference of a circle is \(2\pi r\))
A. \(\frac{250}{\pi}\)
B. \(\frac{500}{\pi}\)
C. 250
D. 500
E. 750
We actually do not need to use any formulas here - just need to understand how the calculations work for the circumference. Since the radius of the rear wheels is twice the radius of the front wheels, the circumference of the rear wheels is also twice that of the front wheels, making it 2 meters. To calculate the number of revolutions made by each rear wheel when traveling 1,000 meters, divide the total distance by the circumference: (1,000 meters)/(2 meters) = 500 revolutions.
Note that this is not a Geometry question. While it uses basic knowledge of lines and figures, it is a Word Problem question. There are 8 questions within GMAT Prep Focus Edition that use similar principles. Here is one example.
Answer: D
25 Sep 2014, 07:04
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Bunuel
Official Solution:
The radius of the front wheels of a cart is half that of the rear wheels. If the circumference of the front wheels is 1 meter and the cart traveled 1 kilometer, how many revolutions did the rear wheels make?
A. \(\frac{250}{\pi}\)
B. \(\frac{500}{\pi}\)
C. 250
D. 500
E. 750
The circumference of the rear wheels is twice that of the front wheels, i.e. 2 meters. Thus, the rear wheels made \(\frac{1000}{2} = 500\) revolutions.
Answer: D
The radius of the front wheels of a cart is half that of the rear wheels. If the circumference of the front wheels is 1 meter and the cart traveled 1 kilometer, how many revolutions did the rear wheels make?
A. \(\frac{250}{\pi}\)
B. \(\frac{500}{\pi}\)
C. 250
D. 500
E. 750
The circumference of the rear wheels is twice that of the front wheels, i.e. 2 meters. Thus, the rear wheels made \(\frac{1000}{2} = 500\) revolutions.
Answer: D
I thought we have to divided the distance i.e. 1000 meters with circumference i.e. 4\({\pi}\) and hence the answer should be \(\frac{250}{{\pi}}\)
but I guess in the solution you have divided the the distance with radius. Is it so?
