The distance travel in the first ride is:
[tex]d=vt[/tex]this means that the time on the first ride is:
[tex]t=\frac{d}{v}[/tex]Now, if we travel the same distance but with a velocity of 3v the time would be:
[tex]\begin{gathered} d=3vt^{\prime} \\ t^{\prime}=\frac{d}{3v} \\ t^{\prime}=\frac{t}{3} \end{gathered}[/tex]This means that the ride home took a third of the original time, therefore the ride homw takes t/3 seconds.
