|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
04 Sep 2011, 09:45
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
83% (00:56) correct
17%
(01:24)
wrong
based on 613
sessions
History
Date
Time
Result
Not Attempted Yet
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.
OPEN DISCUSSION OF THIS QUESTION IS HERE: three-machines-k-m-and-p-working-simultaneously-and-143489.html
(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.
OPEN DISCUSSION OF THIS QUESTION IS HERE: three-machines-k-m-and-p-working-simultaneously-and-143489.html
Every tricky question should trigger a follow up quiz.
Build that habit with
GMAT Club Forum Quiz →.
Depaulian
Joined: 24 Apr 2011
Last visit: 22 Jul 2013
Posts: 41
Given Kudos: 14
Status:Dreaming High
Location: India
Concentration: Operations, Strategy
Schools: Anderson '15 Johnson '15 (S) Kenan-Flagler '15
GMAT 1: 720 Q50 V36
GPA: 3.28
WE:Project Management (Manufacturing)
04 Sep 2011, 09:57
Kudos
Bookmarks
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
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
04 Sep 2011, 10:18
Kudos
Bookmarks
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
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
