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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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10 Nov 2017, 00:51
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91% (01:32) correct 9% (01:29) wrong based on 33 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
[Reveal] Spoiler: OA

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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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10 Nov 2017, 00:58
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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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Math Revolution GMAT Instructor
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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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12 Nov 2017, 19:03
=>
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.
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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, 19:03
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In a pin factory, it needs to produce 100,000 pins every day, and 5 m

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