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A gear 50 inches in diameter turns a smaller gear 30 inches in diamet

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A gear 50 inches in diameter turns a smaller gear 30 inches in diamet  [#permalink]

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New post 26 Feb 2018, 23:22
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A
B
C
D
E

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  25% (medium)

Question Stats:

79% (01:18) correct 21% (01:15) wrong based on 48 sessions

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A gear 50 inches in diameter turns a smaller gear 30 inches in diamet  [#permalink]

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New post 26 Feb 2018, 23:36
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Bunuel wrote:
A gear 50 inches in diameter turns a smaller gear 30 inches in diameter. If the larger gear makes 15 revolutions, how many revolutions does the smaller gear make in that time?

(A) 9

(B) 12

(C) 20

(D) 25

(E) 30


If the gear with diameter 50 inches makes 15 revolutions,

then the smaller gear(diameter: 30 inches) makes \(\frac{50}{30} * 15 = 25\) revolutions

Therefore, the smaller gear will make 25 revolutions n the same time(Option D)
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A gear 50 inches in diameter turns a smaller gear 30 inches in diamet  [#permalink]

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New post 27 Feb 2018, 22:53
2
Bunuel wrote:
A gear 50 inches in diameter turns a smaller gear 30 inches in diameter. If the larger gear makes 15 revolutions, how many revolutions does the smaller gear make in that time?

(A) 9

(B) 12

(C) 20

(D) 25

(E) 30

IMO D circumference of circle is 2pie r and we have diameter than pie d
now we will find total distance covered in 15 revolution
so 15*50pie is total distance covered now we need to divide it by 30pie circumference of smaller circle as we need to find revolutions
15*50 pie/30pie= 25
If you like my explanation then please give me KUDOS
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A gear 50 inches in diameter turns a smaller gear 30 inches in diamet   [#permalink] 27 Feb 2018, 22:53
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A gear 50 inches in diameter turns a smaller gear 30 inches in diamet

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