Velocities $(V)$ and accelerations $(a)$ in two systems of units $1$ and $2$ are related as $V_2 = \frac{n}{m^2} V_1$ and $a_2 = \frac{a_1}{mn}$ respectively. Here $m$ and $n$ are constants. Dimensionally, the relations between distances ($S_1$ and $S_2$) and times ($t_1$ and $t_2$) in the two systems are respectively:

• A
  $S_2 = \left(\frac{n}{m}\right)^3 S_1$ and $t_2 = \frac{n^2}{m} t_1$
• B
  $S_2 = \left(\frac{n}{m}\right)^3 S_1$ and $t_2 = \frac{m}{n^2} t_1$
• C
  $S_2 = \frac{m}{n^2} S_1$ and $t_2 = \frac{m^2}{n^4} t_1$
• D
  $S_2 = \frac{n^2}{m} S_1$ and $t_2 = \frac{m^2}{n^4} t_1$