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# At the rate of 6,000 revolutions per minute, how many revolutions will

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Math Expert
Joined: 02 Sep 2009
Posts: 51121
At the rate of 6,000 revolutions per minute, how many revolutions will  [#permalink]

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31 May 2018, 10:54
00:00

Difficulty:

25% (medium)

Question Stats:

77% (00:43) correct 23% (00:52) wrong based on 87 sessions

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At the rate of 6,000 revolutions per minute, how many revolutions will a wheel make in x seconds?

A. $$6,000x$$

B. $$100x$$

C. $$\frac{100}{x}$$

D. $$\frac{6,000}{x}$$

E. $$\frac{360,000}{x}$$

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Joined: 16 May 2017
Posts: 52
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At the rate of 6,000 revolutions per minute, how many revolutions will  [#permalink]

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31 May 2018, 15:34
Bunuel wrote:
At the rate of 6,000 revolutions per minute, how many revolutions will a wheel make in x seconds?

A. $$6,000x$$

B. $$100x$$

C. $$\frac{100}{x}$$

D. $$\frac{6,000}{x}$$

E. $$\frac{360,000}{x}$$

Speed of rotation:6000 rotation per minute
time : x seconds

total rpm in (x/60) minutes = (6000*60)/x = 360000/x (Option E)
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Re: At the rate of 6,000 revolutions per minute, how many revolutions will  [#permalink]

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31 May 2018, 15:47
Bunuel wrote:
At the rate of 6,000 revolutions per minute, how many revolutions will a wheel make in x seconds?

A. $$6,000x$$

B. $$100x$$

C. $$\frac{100}{x}$$

D. $$\frac{6,000}{x}$$

E. $$\frac{360,000}{x}$$

Given : 6,000 revolutions per minute ==> 6,000 revolutions per 60 seconds ==>100 revolutions per second
Hence in x seconds there will be 100x revolutions. Hence I would go for option B.
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Re: At the rate of 6,000 revolutions per minute, how many revolutions will  [#permalink]

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01 Jun 2018, 01:45

Solution

Given:
• A wheel makes 6000 revolutions in every minute

To find:
• Number of revolutions the wheel make in x seconds

Approach and Working:
• As the wheel makes 6000 revolutions in a minute or 60 seconds time, in 1 second it will make $$\frac{6000}{60}$$ = 100 revolutions
• Therefore, in x seconds, the wheel will make 100 * x = 100x revolutions

Hence, the correct answer is option B.

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Re: At the rate of 6,000 revolutions per minute, how many revolutions will  [#permalink]

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03 Jun 2018, 17:25
Bunuel wrote:
At the rate of 6,000 revolutions per minute, how many revolutions will a wheel make in x seconds?

A. $$6,000x$$

B. $$100x$$

C. $$\frac{100}{x}$$

D. $$\frac{6,000}{x}$$

E. $$\frac{360,000}{x}$$

Since x seconds = x/60 minutes, the number of revolutions made is 6000 * x/60 = 100x revolutions.

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Re: At the rate of 6,000 revolutions per minute, how many revolutions will &nbs [#permalink] 03 Jun 2018, 17:25
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