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All employees of Company A and Company B work together on some project
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Updated on: 29 Oct 2018, 22:32
Question Stats:
67% (01:46) correct 33% (01:49) wrong based on 175 sessions
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All employees of Company A and Company B work together on some project. The ratio of number of employees in company A and company B is 5: 6, and each employee of company A can do the work 3 times faster than each employee of company B. What fraction of the project is done by the employees of company B? A. 5/18 B. 2/7 C. 2/5 D. 5/7 E. 18/23
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Re: All employees of Company A and Company B work together on some project
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27 Sep 2018, 07:09
Ratio of A:B = 5:6 ; A works 3x faster than B 5x3 : 6 = 15 : 6 Part of the work B that completes = 6/21 = 2/7



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Re: All employees of Company A and Company B work together on some project
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27 Sep 2018, 07:25
EgmatQuantExpert wrote: All employees of Company A and Company B work together on some project. The ratio of number of employees in company A and company B is 5: 6, and each employee of company A can do the work 3 times faster than each employee of company B. What fraction of the project is done by the employees of company B? A. 5/18 B. 2/7 C. 2/5 D. 5/7 E. 18/23
To read all our articles:Must read articles to reach Q51A/B = 5/6 we are given when A does 1 unit of work B does 1/3 units of work so, 5 employees of A will do 5 units of work. 6 employees of B will do 6*\(\frac{1}{3}\) = 2 units of work fraction of project done by employees of B = \(\frac{B}{A+B}\) =\(\frac{2}{7}\)



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Re: All employees of Company A and Company B work together on some project
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03 Oct 2018, 04:12
Solution Given:• All the employees of Company A and B work on the same project • The ratio of number of employees in company A to company B = 5: 6 • Each employee of company A can do the work 3 times faster, when compared to each employee of company B To find:• What fraction of the project is done by employees of company B Approach and Working: • Let us assume that the number of employees in company A = 5x
o Implies, the number of employees in company B = 6x • Now, let us assume that each employee of company A can do 'y' amount of work in one day
o Implies, each employee of company B can do '3y' amount of work in one day • So, \(\frac{Work done by all the employees of company A}{Work done by all the employees of company B}\) = \(\frac{(5x * 3y)}{(6x * y)} = \frac{15}{6} = \frac{5}{2}\) Therefore, the fraction of work done by employees of company B = \(\frac{2}{(2 + 5)} = \frac{2}{7}\) Hence, the correct answer is Option B. Answer: B
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Re: All employees of Company A and Company B work together on some project
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15 Nov 2018, 07:13
Hi egmatCan we use your LCM method in this type of problem ? I wasnt able to solve through LCM and ended up choosing 2/5.



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All employees of Company A and Company B work together on some project
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15 Nov 2018, 09:18



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All employees of Company A and Company B work together on some project
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15 Nov 2018, 09:34
EgmatQuantExpert wrote: All employees of Company A and Company B work together on some project. The ratio of number of employees in company A and company B is 5: 6, and each employee of company A can do the work 3 times faster than each employee of company B. What fraction of the project is done by the employees of company B? A. 5/18 B. 2/7 C. 2/5 D. 5/7 E. 18/23
To read all our articles:Must read articles to reach Q51Ratio of number of employees: \(A:B = 5:6\) Since A works 3 times faster than B Then ratio of the work being done: \(Wa:Wb = 5*3 : 6 = 15 : 6\) Hence total work = 6 + 15 = 21 Ratio of work done by B to the total work: Wb:Wt = \(\frac{6}{21} = \frac{2}{7}\) Hence B is the correct answer.



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Re: All employees of Company A and Company B work together on some project
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16 Nov 2018, 17:25
EgmatQuantExpert wrote: hero_with_1000_faces wrote: Hi egmatCan we use your LCM method in this type of problem ? I wasnt able to solve through LCM and ended up choosing 2/5. Hi, Could you please show us, how you approached at solving this question, so that we can understand it in a better way Regards, Hi, I am sorry, I discarded the worksheet, before I saw your reply. But I tried solving this again and I ended up with correct answer although it logically doesnt make sense to me, if you could review that would be great: So, A : B, 5x : 6x As the employees for A are three times more efficient, that means one employee of "A" can work as much as three employees of "B". So 5 * 3 = 15, so the ratio 15x : 6x; so now taking the LCM of 15 and 6 we get 30, from here on my answer doesn't logically make sense to me. for A 30/15 = 2 for B 30/6 = 5 so total work is "7" and therefore 2/7. after solving I realized the question is asking for the part of work done by "B".



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Re: All employees of Company A and Company B work together on some project
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16 Nov 2018, 22:16
EgmatQuantExpert wrote: All employees of Company A and Company B work together on some project. The ratio of number of employees in company A and company B is 5: 6, and each employee of company A can do the work 3 times faster than each employee of company B. What fraction of the project is done by the employees of company B? A. 5/18 B. 2/7 C. 2/5 D. 5/7 E. 18/23
Ratio of employees of \(\frac{Company A}{Company B}\) = \(\frac{5x}{6x}\) Say rate of Company B's employee = R, Then rate of Company A's employee =3R As both worked for equal time, time for both = T We know: Employees x Rate x Time = WorkFor company A 5x * 3R * T = 15xRT For company B 6x * R * T = 6xRT
Total work = \(15xRT + 6xRT = 21xRT\) Work Done by \(B = 6xRT\) Required fraction = \(\frac{6xRT}{21xRT}\) = \(\frac{2}{7}\)
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