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Three machines, K, M, and P, working simultaneously and

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Intern
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Status: pursuing a dream
Joined: 02 Jun 2011
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Schools: MIT Sloan (LGO)
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Three machines, K, M, and P, working simultaneously and [#permalink] New post 04 Sep 2011, 08:45
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Difficulty:

  25% (low)

Question Stats:

75% (01:35) correct 24% (00:53) wrong based on 73 sessions
Three machines, K, M, and P, working simultaneously and independently at their respective constant rates, can complete a certain task in 24 minutes. How long does it take Machine K, working alone at its constant rate, to complete the task?

(1) Machines M and P, working simultaneously and independently at their respective constant rates, can complete the task in 36 minutes.
(2) Machines K and P, working simultaneously and independently at their respective constant rates, can complete the task in 48 minutes.
[Reveal] Spoiler: OA
Manager
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Status: Dreaming High
Joined: 24 Apr 2011
Posts: 61
Location: India
Concentration: Operations, Strategy
GMAT 1: 720 Q50 V36
GPA: 3.28
WE: Project Management (Manufacturing)
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Kudos [?]: 11 [0], given: 14

Re: Three machines working in parallel [#permalink] New post 04 Sep 2011, 08:57
From the data provided in the Q

1/k + 1/m + 1/p = 1/24


(1) says
1/m + 1/ p = 1/36
which along with the eq from the Qs, gives
1/k = 1/24 - 1/36 = 1/72

means k will take 72 mins ,working alone at its constant rate, to complete the task

(2) says
1/k + 1/p = 1/48
from this data , we can ind the working rate of m/c M.


So (1) alone is sufficient
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Manager
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Kudos [?]: 30 [0], given: 21

GMAT Tests User
Re: Three machines working in parallel [#permalink] New post 04 Sep 2011, 09:18
buddy... in the exam you wouldnt want to actually sit and <solve> such problems. In some DS questions u can conclude without actually solving them... this is one such type of a problem

if u really want a detailed explanation, here it is...

let mc K do the task individually in k mins
similarly P in p mins
and M in m mins

so K's work in 1 min is 1/k
M's work similarly is 1/m
and P's is 1/p

since working together they can complete the work in 24 mins, they complete 1/24th work in 1 min

= > 1/k + 1/m + 1/p = 1/24 ------ (1)

the remainder of the part, is pretty much the same as Depaulian has suggested. hence ans is A
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Re: Three machines working in parallel [#permalink] New post 05 Oct 2011, 11:23
all three working together it is 24


so 1/K+1/M+1/P = 1/24

1. 1/M+1/P = 1/36

Applying this we can find 1/k

2. WE cannot fin 1/K with this

Ans A
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Re: Three machines working in parallel [#permalink] New post 07 Dec 2011, 09:19
Depaulian wrote:
From the data provided in the Q

1/k + 1/m + 1/p = 1/24


(1) says
1/m + 1/ p = 1/36
which along with the eq from the Qs, gives
1/k = 1/24 - 1/36 = 1/72

means k will take 72 mins ,working alone at its constant rate, to complete the task

(2) says
1/k + 1/p = 1/48
from this data , we can ind the working rate of m/c M.


So (1) alone is sufficient



Can someone please explain the reasoning behind flipping them like that?

I know that the amount of work produced is Rate * time = work. How is that used in this answer?

Thank you
Manager
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Kudos [?]: 6 [0], given: 3

GMAT Tests User
Re: Three machines working in parallel [#permalink] New post 07 Dec 2011, 22:16
viks4gmat wrote:
buddy... in the exam you wouldnt want to actually sit and <solve> such problems. In some DS questions u can conclude without actually solving them... this is one such type of a problem

if u really want a detailed explanation, here it is...

let mc K do the task individually in k mins
similarly P in p mins
and M in m mins

so K's work in 1 min is 1/k
M's work similarly is 1/m
and P's is 1/p

since working together they can complete the work in 24 mins, they complete 1/24th work in 1 min

= > 1/k + 1/m + 1/p = 1/24 ------ (1)

the remainder of the part, is pretty much the same as Depaulian has suggested. hence ans is A



This is a gr8 explanation- thanks i missed the qs
Senior Manager
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WE 2: Supply Chain 5 Yrs
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Kudos [?]: 108 [0], given: 11

GMAT Tests User
Re: Three machines, K, M, and P, working simultaneously and [#permalink] New post 08 Dec 2011, 06:25
1/k+1/M+1/p=1/24. K=?

Statement 1: we have value for 1/M+1/P. Can solve for K. Sufficient.
Statement 2: we have value for 1/K+1/P. Can solve for M but not for K. Not sufficient.
Re: Three machines, K, M, and P, working simultaneously and   [#permalink] 08 Dec 2011, 06:25
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Three machines, K, M, and P, working simultaneously and

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