E in answer.
2*pi*(x/2)=pi*x
(pi*x)*(100)=d
(pi*y)*n=d
n=100*(x/y)
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and a second wheel
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jaspreetsra
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A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of d feet in 100 revolutions. How many revolutions does the second wheel make in covering d feet?
(A) 100xy
(B) 100y - x
(C) 100x - y
(D) 100y/x
(E) 100x/y
Ans: D?
(A) 100xy
(B) 100y - x
(C) 100x - y
(D) 100y/x
(E) 100x/y
Ans: D?
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GMATinsight
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1 Rev of First wheel = 1 Circumference of Wheel = Pi xjaspreetsra wrote:A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of d feet in 100 revolutions. How many revolutions does the second wheel make in covering d feet?
(A) 100xy
(B) 100y - x
(C) 100x - y
(D) 100y/x
(E) 100x/y
Ans: D?
1 Rev of Second wheel = 1 Circumference of Wheel = Pi y
No. of Revolution x Distance traveled in 1 Rev = Total Distance Traveled
No. of Revolution of Second Wheel = d / Pi y
But The first wheel covers a distance of d feet in 100 revolutions
i.e. d = 100 Pi x
Therefore,
No. of Revolution of Second Wheel = d / Pi y = 100 pi x / Pi y = 100 x / y
Answer: Option E
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Answer is E.
Distance Travelled = Circumference of wheel * Number of revolutions of wheel.
pie * x * 100 = d = pie * y * r
r = 100x/y
E
Distance Travelled = Circumference of wheel * Number of revolutions of wheel.
pie * x * 100 = d = pie * y * r
r = 100x/y
E
