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24 Jun 2022, 01:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
75% (01:42) correct
25%
(01:51)
wrong
based on 55
sessions
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Not Attempted Yet
In a certain duration, the distance covered by a smaller circular rim 24 inches in diameter and the distance covered by a larger circular rim 36 inches in diameter are equal. If the smaller rim makes r rotations per minute, how many rotations per minute does the larger rim make in terms of r ?
(A) 3r/2
(B) 4r/9
(C) 2r/3
(D) 9r/4
(E) r/3
(A) 3r/2
(B) 4r/9
(C) 2r/3
(D) 9r/4
(E) r/3
24 Jun 2022, 02:20
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Please explain, I'm getting 4r/9.
24 Jun 2022, 04:41
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The distance covered by a circular rim in one rotation is 2πr, where r is the radius of the rim.
So distance covered by the smaller rim in one rotation = 48π
Thus, the distance covered by the smaller rim in r rotation= 48rπ
And, the distance covered by the larger rim in one rotation = 72π
Let larger rim make x rotation per minute.
Since the distance covered by both the rims is equal,
48rπ = 72xπ
x = 2/3r
Thus, the correct option is C.
So distance covered by the smaller rim in one rotation = 48π
Thus, the distance covered by the smaller rim in r rotation= 48rπ
And, the distance covered by the larger rim in one rotation = 72π
Let larger rim make x rotation per minute.
Since the distance covered by both the rims is equal,
48rπ = 72xπ
x = 2/3r
Thus, the correct option is C.
