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If it takes 5 machines 5 minutes to make 5 widgets, how long would it

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If it takes 5 machines 5 minutes to make 5 widgets, how long would it  [#permalink]

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New post 01 Nov 2018, 03:58
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

61% (01:11) correct 39% (00:56) wrong based on 74 sessions

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If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?

A. 1 minute
B. 5 minutes
C. 10 minutes
D. 15 minutes
E. 100 minutes

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Re: If it takes 5 machines 5 minutes to make 5 widgets, how long would it  [#permalink]

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New post 01 Nov 2018, 04:22
1
Bunuel wrote:
If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?

A. 1 minute
B. 5 minutes
C. 10 minutes
D. 15 minutes
E. 100 minutes


if 5 machines finish 5 widgets in 5 minutes it means per machine does 1 widget in 5 minutes.

Rate of 1 machine = 1 widget/5 minutes.

so if 100 machines work together the machines can finish 100 widgets in 5 minutes.

Answer choice B
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Re: If it takes 5 machines 5 minutes to make 5 widgets, how long would it  [#permalink]

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New post 06 Nov 2018, 07:00
1
1
Bunuel wrote:
If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?

A. 1 minute
B. 5 minutes
C. 10 minutes
D. 15 minutes
E. 100 minutes



Useful property :

no. of machine * time * rate = work

5 * 5 * R = 5

R = 1/5.

Now we can use this rate to find out the required time:

no. of machine * time * rate = work

100 * T * 1/5 = 100

T = 5.

Thus the best answer is B.
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Re: If it takes 5 machines 5 minutes to make 5 widgets, how long would it  [#permalink]

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New post 07 Nov 2018, 18:11
Bunuel wrote:
If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?

A. 1 minute
B. 5 minutes
C. 10 minutes
D. 15 minutes
E. 100 minutes


The rate of 5 machines is 1 widget per minute, so the rate of 100 machines is 1 x 20 = 20 widgets per minute, so it will take 100 machines 100/20 = 5 minutes to make 100 widgets.

Answer: B
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Re: If it takes 5 machines 5 minutes to make 5 widgets, how long would it &nbs [#permalink] 07 Nov 2018, 18:11
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