Question

Rob drove to the nearest hospital with an average speed of v m/s in t seconds. In terms of t, if he drives home on the same path, but with an average speed of 3v m/s, how long is the return trip home?

Answer 1

The distance travel in the first ride is:

`d=vt`

this means that the time on the first ride is:

`t=(d)/(v)`

Now, if we travel the same distance but with a velocity of 3v the time would be:

`\begin{gathered} d=3vt^(\prime) \\ t^(\prime)=(d)/(3v) \\ t^(\prime)=(t)/(3) \end{gathered}`

This means that the ride home took a third of the original time, therefore the ride homw takes t/3 seconds.