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

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Math Expert
Joined: 02 Sep 2009
Posts: 58445
If it takes 5 machines 5 minutes to make 5 widgets, how long would it  [#permalink]

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01 Nov 2018, 04:58
00:00

Difficulty:

25% (medium)

Question Stats:

71% (01:14) correct 29% (01:17) wrong based on 116 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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Director
Joined: 19 Oct 2013
Posts: 516
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
Re: If it takes 5 machines 5 minutes to make 5 widgets, how long would it  [#permalink]

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01 Nov 2018, 05:22
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.

VP
Joined: 31 Oct 2013
Posts: 1465
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If it takes 5 machines 5 minutes to make 5 widgets, how long would it  [#permalink]

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06 Nov 2018, 08:00
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.
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8109
Location: United States (CA)
Re: If it takes 5 machines 5 minutes to make 5 widgets, how long would it  [#permalink]

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07 Nov 2018, 19:11
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.

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Re: If it takes 5 machines 5 minutes to make 5 widgets, how long would it   [#permalink] 07 Nov 2018, 19:11
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