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14 Oct 2023, 04:41
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
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Question Stats:
100% (01:26) correct
0%
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wrong
based on 6
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If 6 identical machines, each working at the same uniform constant rate, can complete a job working together in 3 hours, how long will it take 9 of these machines, working at their constant rate, to complete 1/3 of this job?
A. 60 minutes
B. 45 minutes
C. 40 minutes
D. 30 minutes
E. 24 minutes
A. 60 minutes
B. 45 minutes
C. 40 minutes
D. 30 minutes
E. 24 minutes
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14 Oct 2023, 05:26
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No of workers * Rate * Time =Total work
6*R*3=1
R=1/18
9*R*T=1/3
9*1/18*T=1/3
T=1/3 *18/9 =18/27*60 =40 mins
6*R*3=1
R=1/18
9*R*T=1/3
9*1/18*T=1/3
T=1/3 *18/9 =18/27*60 =40 mins
14 Oct 2023, 05:42
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MORE people should take LESS time to do the same job. It's an inverse relationship.
6 people = 3 hours
9 people = x hours
Multiply HORIZONTALLY since it's an inverse relationship.
18 = 9x
x is equal to 2
Basically, it would take 9 people a total of 2 hours to do the whole job.
However, we're asked to find out how long it would take 9 people to do 1/3 of the job. Less work takes less time so this is NOT an inverse situation. You can simply find out what a third of 2 hours is: 40 minutes.
(C) is your answer.
-contact: gmatknight site | gmatclub dm
6 people = 3 hours
9 people = x hours
Multiply HORIZONTALLY since it's an inverse relationship.
18 = 9x
x is equal to 2
Basically, it would take 9 people a total of 2 hours to do the whole job.
However, we're asked to find out how long it would take 9 people to do 1/3 of the job. Less work takes less time so this is NOT an inverse situation. You can simply find out what a third of 2 hours is: 40 minutes.
(C) is your answer.
-contact: gmatknight site | gmatclub dm
