Inverse and Direct Variation Word Problems - Examples

The change in velocity, $\Delta v = v-v_0$, is directly proportional to acceleration, $a$, and time, $t$, by $\Delta v = at$. If an object starting at rest ($v_0 = 0$) accelerates at $8 \frac{m}{s^{2}}$ for $6$ seconds, how long would it take for another object accelerating from rest at $3 \frac{m}{s^{2}}$ to reach the same velocity as the first object?