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01 Mar 2018, 03:50
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
74% (01:43) correct
26%
(01:55)
wrong
based on 298
sessions
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Not Attempted Yet
[GMAT math practice question]
There are 4 machines with the same work rate. If it took \(k\) hours for 3 machines to work and did \(k-2\) hours for 4 machines when working together, what is the value of \(k\)?
A. 4
B. 5
C. 6
D. 7
E. 8
There are 4 machines with the same work rate. If it took \(k\) hours for 3 machines to work and did \(k-2\) hours for 4 machines when working together, what is the value of \(k\)?
A. 4
B. 5
C. 6
D. 7
E. 8
01 Mar 2018, 05:33
Kudos
Bookmarks
If it takes 3 machines khours to work and 4 machine (k-2)hrs, then
1 machine will work in 3k hours which is also equivalent to 4(k-2) hours
Therefore
3k=4k-8
K=8
Sent from my [device_name] using [url]GMAT Club Forum mobile app[/url]
1 machine will work in 3k hours which is also equivalent to 4(k-2) hours
Therefore
3k=4k-8
K=8
Sent from my [device_name] using [url]GMAT Club Forum mobile app[/url]
04 Mar 2018, 19:25
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Bookmarks
=>
Work Amount = Number of machines * Work Rate * Time
If r is the machine’s work rate, we have \(3rk = 4r(k-2)\) or \(3k = 4k -8\).
Thus \(k = 8\).
Therefore, E is the answer.
Answer: E
Work Amount = Number of machines * Work Rate * Time
If r is the machine’s work rate, we have \(3rk = 4r(k-2)\) or \(3k = 4k -8\).
Thus \(k = 8\).
Therefore, E is the answer.
Answer: E
