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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
Joined: 16 Aug 2015
Posts: 6985
GMAT 1: 760 Q51 V42
GPA: 3.82
In a pin factory, it needs to produce 100,000 pins every day, and 5 m  [#permalink]

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09 Nov 2017, 23:51
1
00:00

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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"Only $149 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Senior PS Moderator Joined: 26 Feb 2016 Posts: 3343 Location: India GPA: 3.12 Re: In a pin factory, it needs to produce 100,000 pins every day, and 5 m [#permalink] ### Show Tags 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) _________________ You've got what it takes, but it will take everything you've got Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6985 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: In a pin factory, it needs to produce 100,000 pins every day, and 5 m [#permalink] ### Show Tags 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 _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$149 for 3 month Online Course"
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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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