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MathRevolution
[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
Let the rate of each machine be r. We can create the equation:

(3r)k = (4r)(k - 2)

3k = 4k - 8

8 = k

Answer: E
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3k=4(k-2) (Work done is same)
Solve for k
k=8
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