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In a pin factory, it needs to produce 100,000 pins every day, and 5 m

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Math Revolution GMAT Instructor
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In a pin factory, it needs to produce 100,000 pins every day, and 5 m  [#permalink]

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New post 09 Nov 2017, 23:51
1
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

93% (02:19) correct 7% (02:21) wrong based on 60 sessions

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[GMAT math practice question]

In a pin factory, it needs to produce 100,000 pins every day, and 5 machines take x hours to produce 100,000 pins. One day, one of the machines is out of order, so only 4 machines worked. These four machines took x+2 hours to produce 100,000 pins, and each machine’s work rates are the same. What is the value of x?

A. 5
B. 6
C. 7
D. 8
E. 9

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Re: In a pin factory, it needs to produce 100,000 pins every day, and 5 m  [#permalink]

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New post 09 Nov 2017, 23:58
2
MathRevolution wrote:
[GMAT math practice question]

In a pin factory, it needs to produce 100,000 pins every day, and 5 machines take x hours to produce 100,000 pins. One day, one of the machines is out of order, so only 4 machines worked. These four machines took x+2 hours to produce 100,000 pins, and each machine’s work rates are the same. What is the value of x?

A. 5
B. 6
C. 7
D. 8
E. 9


If 5 machines take x hours to produce 100000 pins and if
one of the machine is out of order, the machines will take
x+2 hours to complete the same work

So, 5x = 4(x+2)
5x = 4x + 8
x = 8

Hence, the value of x is 8(Option D)
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Re: In a pin factory, it needs to produce 100,000 pins every day, and 5 m  [#permalink]

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New post 12 Nov 2017, 18:03
=>
Assume T is the time that one machine takes to produce 100,000 pins.

\(\frac{1}{x} = \frac{5}{T} and \frac{1}{(x+2)} = \frac{4}{T}\)
\(5x = T and T = 4(x+2)\)
\(5x = 4(x+2)\)
\(5x = 4x + 8\)
\(x = 8.\)

Therefore, the answer is D.
Answer: D
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Re: In a pin factory, it needs to produce 100,000 pins every day, and 5 m   [#permalink] 12 Nov 2017, 18:03
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In a pin factory, it needs to produce 100,000 pins every day, and 5 m

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