Question

A person takes a trip, driving with a constant speed of 93.5 km/h, except for a 22.0-min rest stop. If the person's average speed is 71.6 km/h, find the following.(a) How much time is spent on the trip? h(b) How far does the person travel? km

Answer 1

We will have the following:

First, we determine the time:

`\begin{gathered} (93.5km/h+0km/h)/(H)=71.6km/h\Rightarrow H=(935)/(716)h \\ \\ \Rightarrow H\approx1.3h \end{gathered}`

So, the time spent on the trip was 935/716 h; that is approximately 1.3 hours.

Now, we deteremine the distance traveled:

`\begin{gathered} d=(93.5km/h)((935)/(716)-(11)/(30)h)\Rightarrow d=87.81513035...km \\ \\ \Rightarrow d\approx87.82km \end{gathered}`

So, the distane traveled was approximately 87.82 km.