November 22, 2018 November 22, 2018 10:00 PM PST 11:00 PM PST Mark your calendars  All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA) November 24, 2018 November 24, 2018 07:00 AM PST 09:00 AM PST Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.
Author 
Message 
TAGS:

Hide Tags

eGMAT Representative
Joined: 04 Jan 2015
Posts: 2213

M and N working together, can finish a job in 6 days
[#permalink]
Show Tags
Updated on: 27 Aug 2018, 02:09
Question Stats:
88% (01:53) correct 12% (02:17) wrong based on 67 sessions
HideShow timer Statistics
M and N working together, can finish a job in 6 days. With the help of P, they completed the job in 4 days. If Q joined them, all 4 together would have completed the job in 3\(\frac{1}{3}\) days. If all work at their respective constant rate, then in how many days Q alone can complete the work? A. 10 B. 12 C. 15 D. 18 E. 20 To read all our articles: Must read articles to reach Q51
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Register for free sessions Number Properties  Algebra Quant Workshop
Success Stories Guillermo's Success Story  Carrie's Success Story
Ace GMAT quant Articles and Question to reach Q51  Question of the week
Must Read Articles Number Properties – Even Odd  LCM GCD  Statistics1  Statistics2 Word Problems – Percentage 1  Percentage 2  Time and Work 1  Time and Work 2  Time, Speed and Distance 1  Time, Speed and Distance 2 Advanced Topics Permutation and Combination 1  Permutation and Combination 2  Permutation and Combination 3  Probability Geometry Triangles 1  Triangles 2  Triangles 3  Common Mistakes in Geometry Algebra Wavy line  Inequalities Practice Questions Number Properties 1  Number Properties 2  Algebra 1  Geometry  Prime Numbers  Absolute value equations  Sets
 '4 out of Top 5' Instructors on gmatclub  70 point improvement guarantee  www.egmat.com



Math Expert
Joined: 02 Aug 2009
Posts: 7046

M and N working together, can finish a job in 6 days
[#permalink]
Show Tags
27 Aug 2018, 01:59
EgmatQuantExpert wrote: M and N working together, can finish a job in 6 days. With the help of P, they completed the job in 4 days. If Q joined them, all 4 together would have completed the job in 31/3 days. If all work at their respective constant rate, then in how many days Q alone can complete the work? A. 10 B. 12 C. 15 D. 18 E. 20 To read all our articles: Must read articles to reach Q51All four can complete the job in 3 and 1/3 days or 10/3 , so 1 day work =3/10 All except Q can complete job in 4 days, so their 1 day work=1/4 So 1 day work of Q = 3/101/4=(1210)/40=1/20 So total work in 20 days.. E EgmatQuantExpert, how can 3 people finish faster in 4 days as compared to a situation when a fourth person joins them and now in 31/3=10 days ?????
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effectsofarithmeticoperationsonfractions269413.html
GMAT online Tutor



eGMAT Representative
Joined: 04 Jan 2015
Posts: 2213

Re: M and N working together, can finish a job in 6 days
[#permalink]
Show Tags
27 Aug 2018, 02:13
chetan2u wrote: All four can complete the job in 31/3 days , so 1 day work =3/31 All except Q can complete job in 4 days, so their 1 day work=1/4 EgmatQuantExpert, how can 3 people finish faster in 4 days as compared to a situation when a fourth person joins them and now in 31/3=10 days ????? It was a tagging error. It should be 3\(\frac{1}{3}\) days not 31/3. We have corrected it.
_________________
Register for free sessions Number Properties  Algebra Quant Workshop
Success Stories Guillermo's Success Story  Carrie's Success Story
Ace GMAT quant Articles and Question to reach Q51  Question of the week
Must Read Articles Number Properties – Even Odd  LCM GCD  Statistics1  Statistics2 Word Problems – Percentage 1  Percentage 2  Time and Work 1  Time and Work 2  Time, Speed and Distance 1  Time, Speed and Distance 2 Advanced Topics Permutation and Combination 1  Permutation and Combination 2  Permutation and Combination 3  Probability Geometry Triangles 1  Triangles 2  Triangles 3  Common Mistakes in Geometry Algebra Wavy line  Inequalities Practice Questions Number Properties 1  Number Properties 2  Algebra 1  Geometry  Prime Numbers  Absolute value equations  Sets
 '4 out of Top 5' Instructors on gmatclub  70 point improvement guarantee  www.egmat.com



VP
Joined: 09 Mar 2016
Posts: 1115

Re: M and N working together, can finish a job in 6 days
[#permalink]
Show Tags
27 Aug 2018, 06:12
chetan2u wrote: EgmatQuantExpert wrote: M and N working together, can finish a job in 6 days. With the help of P, they completed the job in 4 days. If Q joined them, all 4 together would have completed the job in 31/3 days. If all work at their respective constant rate, then in how many days Q alone can complete the work? A. 10 B. 12 C. 15 D. 18 E. 20 To read all our articles: Must read articles to reach Q51 All four can complete the job in 3 and 1/3 days or 10/3 , so 1 day work =3/10All except Q can complete job in 4 days, so their 1 day work=1/4 So 1 day work of Q = 3/101/4=(1210)/40=1/20 So total work in 20 days.. E EgmatQuantExpert, how can 3 people finish faster in 4 days as compared to a situation when a fourth person joins them and now in 31/3=10 days ????? what is the reason you switched 10/3 to 3/10 ?



Math Expert
Joined: 02 Aug 2009
Posts: 7046

Re: M and N working together, can finish a job in 6 days
[#permalink]
Show Tags
27 Aug 2018, 06:23
dave13 wrote: chetan2u wrote: EgmatQuantExpert wrote: M and N working together, can finish a job in 6 days. With the help of P, they completed the job in 4 days. If Q joined them, all 4 together would have completed the job in 31/3 days. If all work at their respective constant rate, then in how many days Q alone can complete the work? A. 10 B. 12 C. 15 D. 18 E. 20 To read all our articles: Must read articles to reach Q51 All four can complete the job in 3 and 1/3 days or 10/3 , so 1 day work =3/10All except Q can complete job in 4 days, so their 1 day work=1/4 So 1 day work of Q = 3/101/4=(1210)/40=1/20 So total work in 20 days.. E EgmatQuantExpert, how can 3 people finish faster in 4 days as compared to a situation when a fourth person joins them and now in 31/3=10 days ????? what is the reason you switched 10/3 to 3/10 ? dave13If someone can do a job in 10 days so each day he does 1/10 th of work.. So here also they complete the work in 10/3 days, thus in one day they can do 3/10th of work as 1/(10/3)=1*3/10=3/10 If A is doing 1/2 of the work in one day, A will complete full work in 2 days as 1/(1/2)=1*2/1=2
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effectsofarithmeticoperationsonfractions269413.html
GMAT online Tutor




Re: M and N working together, can finish a job in 6 days &nbs
[#permalink]
27 Aug 2018, 06:23






