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6 workers should finish a job in 8 days. After 3 days came 4

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6 workers should finish a job in 8 days. After 3 days came 4 [#permalink] New post 26 May 2013, 08:20
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A
B
C
D
E

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  45% (medium)

Question Stats:

54% (02:14) correct 46% (01:39) wrong based on 94 sessions
6 workers should finish a job in 8 days. After 3 days came 4 workers join them. How many days do they need to finish the same job?

A. 3
B. 4
C. 5
D. 6
E. 7

I do not have the OA. sorry for the inconvenience....
[Reveal] Spoiler: OA

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Re: 6 workers should finish a job in 8 days. After 3 days came 4 [#permalink] New post 26 May 2013, 08:36
Expert's post
atalpanditgmat wrote:
6 workers should finish a job in 8 days. After 3 days came 4 workers join them. How many days do they need to finish the same job?

A. 3
B. 4
C. 5
D. 6
E. 7

I do not have the OA. sorry for the inconvenience....


There are 6*8=48 units of work to be done (1 unit done by 1 worker in 1 day).

After 3 days 3*6=18 units are done and 30 units left to be done.

Now, 6+4=10 workers can do 30 units of the work in 30/10=3 days.

Answer: A.

Hope it's clear.
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Re: 6 workers should finish a job in 8 days. After 3 days came 4 [#permalink] New post 26 May 2013, 09:06
Let Rate of one worker be R
=> (6*R)*8 = 1 (Rate * Time = work)
=> R = 1/48
=> Work remaining after 3 days
1 - (3*6)/48 = 30/48

After 4 ppl joined in
((6+4)*Time)/48 = 30/48
Time = 3 days to finish the task
IMO A
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Re: 6 workers should finish a job in 8 days. After 3 days came 4 [#permalink] New post 19 Jun 2013, 11:17
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I agree with the math of both of the previous answers, just a question regarding wording: the question asks for "How many days do they need to finish the same job?," which in my mind is the 3 days that the 6 workers use, PLUS the 3 days that the 10 workers use, making the answer D. Thoughts?
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Re: 6 workers should finish a job in 8 days. After 3 days came 4 [#permalink] New post 19 Jun 2013, 11:33
Completely agree with Jeffcarl... I got 3+3 =6 days...

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Re: 6 workers should finish a job in 8 days. After 3 days came 4 [#permalink] New post 19 Jun 2013, 14:36
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jeffcarl wrote:
I agree with the math of both of the previous answers, just a question regarding wording: the question asks for "How many days do they need to finish the same job?," which in my mind is the 3 days that the 6 workers use, PLUS the 3 days that the 10 workers use, making the answer D. Thoughts?


I originally picked D as well, for the same reason.. but after reviewing it again.


"how many days do they need to finish the same project?"

well the project as a whole takes 6 days, but only 3 days left to finish it.
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Re: 6 workers should finish a job in 8 days. After 3 days came 4 [#permalink] New post 20 Jun 2013, 03:06
Expert's post
dave785 wrote:
jeffcarl wrote:
I agree with the math of both of the previous answers, just a question regarding wording: the question asks for "How many days do they need to finish the same job?," which in my mind is the 3 days that the 6 workers use, PLUS the 3 days that the 10 workers use, making the answer D. Thoughts?


I originally picked D as well, for the same reason.. but after reviewing it again.


"how many days do they need to finish the same project?"

well the project as a whole takes 6 days, but only 3 days left to finish it.


Yes, that's correct. The question asks: "how many days do they need to finish the same job?"
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NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: 6 workers should finish a job in 8 days. After 3 days came 4   [#permalink] 20 Jun 2013, 03:06
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