If m men working m h per day, can do m units of work in

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If m men working m h per day, can do m units of work in m days, then n men working n h per day would be able to complete how units of work in days?

1. n³/m²
2. m³/n²
3. m⁴/n²
4. n⁴/m³

Correct Option: A

Let the required number of units of work = k
According to the formula,
W₁= m and W₂ = k
M₁T₁D₁W₂ = M₂T₂D₂W₁
⇒ m x m x m x k = n x n x n x m
∴ x= (m x n³) / m³ = n³/m²