题目信息
A circular rim 28 inches in diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim make in terms of x ?
A:
B:75x
C:48x
D:24x
E:
参考答案及共享解析
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已选答案：
正确答案：
C:48x
Geometry Circles; Circumference
Since the smaller rim has diameter 28 inches and rotates x revolutions per second, it rotates 28πx inches per second. If y represents the number of revolutions the larger rim rotates per second, then the larger rim rotates 35πy inches per second. Since the rims rotate the same number of inches per second, it follows that 28πx = 35πy. Then y =
inches per second or 
= 48x inches per minute.
The correct answer is C.
Since the smaller rim has diameter 28 inches and rotates x revolutions per second, it rotates 28πx inches per second. If y represents the number of revolutions the larger rim rotates per second, then the larger rim rotates 35πy inches per second. Since the rims rotate the same number of inches per second, it follows that 28πx = 35πy. Then y =
inches per second or = 48x inches per minute.The correct answer is C.
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