Three workers, Alan, Bob, and Chad, working
simultaneously at their respective constant rates,
can complete a job in 7 hours. Alan and Bob,
working simultaneously at their respective constant
rates, can complete the same job in 11 hours. How
many hours will it take Chad, working alone at his
constant rate, to complete the same job?
Answers
Answer:
please mark brainlist
Explanation:
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GMAT Club Forum Index Data Sufficiency (DS)
Three machines, K, M, and P, working simultaneously and : Data Sufficiency (DS)
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LGOdream
Sep 4, 2011
00:00ABCDE
DIFFICULTY: 5% (low) QUESTION STATS: based on 407 sessions
80% (01:02) correct
20% (01:27) wrong
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
Spoiler: OA
Kudos
1 kudos, 1 bookmark
Depaulian
Sep 4, 2011
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
Answer:
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