Work - m machines

[Brent@GMATPrepNow]

Please note that this is not an official GMAT question; it’s my attempt to create difficult (650+ level) GMAT-style questions for this forum.

[tini]

m machines work m hrs and finish in m days
m machines work 1 hr and finish in m*m days
1 machine works 1 hr and finish in m*m*m days
k machine work 1 hr and finish in (m^3)/k days
k machine work k hrs and finish in (m^3)(k^2) days

is this the answer?

[Brent@GMATPrepNow]

m machines work m hrs and finish in m days
m machines work 1 hr and finish in m*m days
1 machine works 1 hr and finish in m*m*m days
k machine work 1 hr and finish in (m^3)/k days
k machine work k hrs and finish in (m^3)(k^2) days

is this the answer?

If you meant (m^3)/(k^2) days, then you are correct.

My solution is similar:

[Brent@GMATPrepNow]

Another option is to assign m and k values, determine the numerical answer, and then see which answer choice yields the same value.

[tini]

yes. i missed out the slash.a typo.

[griscomtestprep]

work = work
m*m*m=k*k*x
x=m^3/k^2