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# Work Rate Questions - I collected from GMAT Club

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Manager
Joined: 24 Oct 2011
Posts: 92

Kudos [?]: 17 [0], given: 27

Location: India
GMAT Date: 11-29-2011
GPA: 3.5
WE: Web Development (Computer Software)
Re: Work Rate Questions - I collected from GMAT Club [#permalink]

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03 Dec 2011, 11:11

Kudos [?]: 17 [0], given: 27

Director
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 614

Kudos [?]: 1135 [0], given: 39

Re: Work Rate Questions - I collected from GMAT Club [#permalink]

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17 Dec 2011, 14:39
Ans. of 14 is 6. not 1.
Joint Rate of John and Jane= 1/20+1/12 = 2/15

John does in 4 days = 1/20*4= 1/5
left 4/5 part is done by both them.

So together they work = 4/5*15/2 = 6 Ans.
_________________

Collections:-
PSof OG solved by GC members: http://gmatclub.com/forum/collection-ps-with-solution-from-gmatclub-110005.html
DS of OG solved by GC members: http://gmatclub.com/forum/collection-ds-with-solution-from-gmatclub-110004.html
100 GMAT PREP Quantitative collection http://gmatclub.com/forum/gmat-prep-problem-collections-114358.html
Collections of work/rate problems with solutions http://gmatclub.com/forum/collections-of-work-rate-problem-with-solutions-118919.html
Mixture problems in a file with best solutions: http://gmatclub.com/forum/mixture-problems-with-best-and-easy-solutions-all-together-124644.html

Kudos [?]: 1135 [0], given: 39

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16585

Kudos [?]: 273 [0], given: 0

Re: Work Rate Questions - I collected from GMAT Club [#permalink]

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22 Jul 2014, 04:55
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Kudos [?]: 273 [0], given: 0

Senior Manager
Status: Math is psycho-logical
Joined: 07 Apr 2014
Posts: 437

Kudos [?]: 139 [0], given: 169

Location: Netherlands
GMAT Date: 02-11-2015
WE: Psychology and Counseling (Other)
Re: Work Rate Questions - I collected from GMAT Club [#permalink]

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28 Dec 2014, 06:23
For Q8 there is an easy approach to think about it. This is actually thw working together scenario, with one twist.
So, when machines work together, you add their individual rates to find the average rate. When one is undoing the work of the other what you do is subtract the rates. In the RT=W chart, we fill in the info we know:

R T W
Filling valve 1/4 10 1
Draining valve 1/5 x 1

Now, the chart is creating an equation, but we need to pay attention to subtract the rates instead of adding them:
(1/4)*10 - (1/5)x = 1
(50-4x)/20=1
50-4x=20
4x=30
x=7.5

Looking at the chart, x is the time the draining valve was working. So, from the time it took to fill the whole pool we subtract the time the draining valve was working: 23-7.5= 15.5 or 3.30 | 11-7.5=3.5 if you prefer, which in terms of time is 3 hours plus half an hour which is 3.30.

Kudos [?]: 139 [0], given: 169

Intern
Joined: 27 Dec 2014
Posts: 4

Kudos [?]: [0], given: 17

Re: Work Rate Questions - I collected from GMAT Club [#permalink]

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06 Feb 2015, 03:39
solution for number 2 : E (12 )

R * T = W
for machine y : 1 /t * t =1
for machine x : 1 / (t+2) * (t+2) =1
both together : 5 /12 * 12/5 = 1 ( calculated the rate 5/12 from the given information)

the single rates are together the combined rate.
( 1/t + 1/(t+2)) = 5/12
solving for t (using pq formula).

t = 4 (second solution is negative, not relevant )

how many days does machine x need to produce 2 w? We know know the rate of machine x ( 1/(t+2) = 1 /(2+4)

1 /6 * x = 2
Solved, x= 12

Machine x needs 12 days to produce 2 widgets.

Kudos [?]: [0], given: 17

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16585

Kudos [?]: 273 [0], given: 0

Re: Work Rate Questions - I collected from GMAT Club [#permalink]

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12 Feb 2016, 07:48
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 273 [0], given: 0

Intern
Joined: 07 Feb 2016
Posts: 17

Kudos [?]: 5 [0], given: 1

Re: Work Rate Questions - I collected from GMAT Club [#permalink]

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26 Feb 2016, 17:20
Great post, thanks a lot!

Kudos [?]: 5 [0], given: 1

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16585

Kudos [?]: 273 [0], given: 0

Re: Work Rate Questions - I collected from GMAT Club [#permalink]

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30 May 2017, 02:49
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 273 [0], given: 0

Re: Work Rate Questions - I collected from GMAT Club   [#permalink] 30 May 2017, 02:49

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