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# Working alone at its own constant rate, a machine seals k

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Re: Working alone at its own constant rate, a machine seals k  [#permalink]

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11 Jan 2015, 07:25
pacifist85 wrote:
I used the same aproach as Paresh. So, after finding the comdined rate as 3k/8, I assumed that they work for 1 hour. So, the individual work should be the same as the individual rates, i.e. k/8 for the slower one and k/4 for the faster one. It is then (k/4)/(3k/8).

What I didn't understand in the other approaches is why we used 8 hours as the amount of hours they worked for. I guess, we could also have chosen 4 hours or any other amount of hours?

LCM of 4 & 8 is 8..... Its just for ease of calculation......
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Re: Working alone at its own constant rate, a machine seals k  [#permalink]

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11 Jan 2015, 16:09
Hi pacifist85,

Here's an interesting "drill" that you can do to help develop this skill. Go back and review all of the past Quant questions that you've done and look for situations in which TESTing VALUES is applicable. When you come across those questions, look for the various "clues" in the prompt that would help you make a smart choice for the value(s) that you'd pick. Look for what's listed in the answers, the wording/descriptions in the prompt, any fractions that you're given, etc. For example, when I see the % sign in the answers, my first thought is that I might be able to TEST the number 100 in this question... In this way, you'll be training to not only spot the potential uses for this tactic, but you'll also be training to test the values that will make solving the problem most efficient.

GMAT assassins aren't born, they're made,
Rich
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Special Offer: Save $75 + GMAT Club Tests Free Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/ Manager Joined: 10 Mar 2013 Posts: 189 GMAT 1: 620 Q44 V31 GMAT 2: 690 Q47 V37 GMAT 3: 610 Q47 V28 GMAT 4: 700 Q50 V34 GMAT 5: 700 Q49 V36 GMAT 6: 690 Q48 V35 GMAT 7: 750 Q49 V42 GMAT 8: 730 Q50 V39 Re: Working alone at its own constant rate, a machine seals k [#permalink] ### Show Tags 04 Jul 2015, 23:07 In 8 hours, first machine will seal k cartons and second machine, the faster one, will seal 2k cartons. Total work done = 3k 2k/3k = 66 2/3%, so D Senior Manager Joined: 10 Mar 2013 Posts: 495 Location: Germany Concentration: Finance, Entrepreneurship GMAT 1: 580 Q46 V24 GPA: 3.88 WE: Information Technology (Consulting) Working alone at its own constant rate, a machine seals k [#permalink] ### Show Tags 25 Nov 2015, 13:30 anilnandyala wrote: Working alone at its own constant rate, a machine seals k cartoons in 8 hours, and working at its own constant rate a second machine seals k cartoons in 4 hours. if 2 machines each working at its own constant rate and for the same period of time together sealed a certain no of cartoons. what percentage of the cartoons were sealed by the machine working at the faster rate? A. 25% B. 33 1/3% C. 50% D. 66 2/3% E. 75% Rate A = $$\frac{1}{8}$$, Rate B =$$\frac{1}{4}$$ --> $$\frac{Rate A}{Rate B}=\frac{1}{8}*\frac{4}{1} = \frac{1}{2}$$ So the faster rate has 2 of 3 --> 66 2/3% Answer D _________________ When you’re up, your friends know who you are. When you’re down, you know who your friends are. Share some Kudos, if my posts help you. Thank you ! 800Score ONLY QUANT CAT1 51, CAT2 50, CAT3 50 GMAT PREP 670 MGMAT CAT 630 KAPLAN CAT 660 Target Test Prep Representative Status: Head GMAT Instructor Affiliations: Target Test Prep Joined: 04 Mar 2011 Posts: 2823 Re: Working alone at its own constant rate, a machine seals k [#permalink] ### Show Tags 10 Apr 2018, 11:03 study wrote: Working alone at its own constant rate, a machine seals k cartons in 8 hours, and working alone at its own constant rate, a second machine seals k cartons in 4 hours. If the two machines, each working at its own constant rate and for the same period of time, together sealed a certain number of cartons, what percent of the cartons were sealed by the machine working at the faster rate? A. $$25%$$ B. $$33\frac{1}{3}%$$ C. $$50%$$ D. $$66\frac{2}{3}%$$ E. $$75%$$ Since the second machine can seal k cartons in 4 hours, it can seal 2k cartons in 8 hours, whereas the first machine can seal only k cartons in 8 hours. So the second machine is twice as fast as the first machine and thus it will seal twice as many cartons as the the first machine. Therefore, when working together, the second machine (the faster machine) will finish ⅔ or 66⅔% of the work whereas the first machine (the slower machine) will finish ⅓ or 33⅓% of the work. Alternate Solution: In 8 hours, the slower machine will seal k cartons, and the faster machine will seal 2k cartons. In total, k + 2k = 3k cartons will be sealed, and, of these cartons, the faster machine will seal 2k/3k = 2/3 = 66 ⅔% of them. Answer: D _________________ # Jeffrey Miller Head of GMAT Instruction Jeff@TargetTestPrep.com 122 Reviews 5-star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button. VP Joined: 09 Mar 2016 Posts: 1283 Working alone at its own constant rate, a machine seals k [#permalink] ### Show Tags 30 May 2018, 14:25 Bunuel wrote: anilnandyala wrote: working alone at its own constant rate, a machine seals k cartoons in 8 hours, and working at its own constant rate a second machine seals k cartoons in 4 hours. if 2 machines each working at its own constant rate and for the same period of time together sealed a certain no of cartoons. what percentage of the cartoons were sealed by the machine working at the faster rate? a 25% b 33 1/3% c 50% d 66 2/3% e 75% i am missing something in this, please explain thanks in advance As second one works twice as fast as the first, working together second will do 2/3 of work and the first 1/3 of work (their ratio 1/2). Answer: D. Bunuel the question itself confused me --- > what percent of the cartons were sealed by the machine working at the faster rate? what does it mean at faster rate ? I know there rates are 1/8 and 1/4 ….but at faster rate … what it means??? Intern Joined: 16 Nov 2018 Posts: 15 Re: Working alone at its own constant rate, a machine seals k [#permalink] ### Show Tags 26 Nov 2018, 04:55 I read 66 2/3 as a mixed number while here it means 66 or 2/3?? Because 66 2/3 means 99% EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 14199 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: Working alone at its own constant rate, a machine seals k [#permalink] ### Show Tags 26 Nov 2018, 11:52 Hi oblivion441, The prompt asks us "what PERCENT of the cartons were sealed by the machine working at the faster rate?" The five answer choices are all 'percents' - listed in increasing order (Answer A is 25% - the smallest answer, Answer E is 75% - the largest answer). Thus, Answer B should be interpreted as '33 and 1/3 percent' and Answer D should be interpreted as '66 and 2/3 percent.' 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Re: Working alone at its own constant rate, a machine seals k  [#permalink]

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26 Nov 2018, 12:18
EMPOWERgmatRichC wrote:
Hi oblivion441,

The prompt asks us "what PERCENT of the cartons were sealed by the machine working at the faster rate?" The five answer choices are all 'percents' - listed in increasing order (Answer A is 25% - the smallest answer, Answer E is 75% - the largest answer). Thus, Answer B should be interpreted as '33 and 1/3 percent' and Answer D should be interpreted as '66 and 2/3 percent.'

GMAT assassins aren't born, they're made,
Rich

Thank you.

Even thought I understand how it should be interpreted, I disagree with the way in which it is written. 66 2/3 is written as a mixed number. There should be the conjunction AND whereas the answer can be misinterpreted. Plus, I have already encountered some problems with percents written as mixed numbers.
Re: Working alone at its own constant rate, a machine seals k   [#permalink] 26 Nov 2018, 12:18

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