This question can simply be solved by the use of the formula of uniform speed.
It would take "4.5 hours" for the family to get home.
Since the car is moving at a constant speed. Therefore, the formula of speed for uniform motion will be used here. The formula of uniform speed is given as follows:
[tex]s = vt[/tex]
where,
s = distance to travel = 270 km
v = speed of the vehicle = 60 km/hr
t = time taen = ?
Therefore,
[tex]270\ km = (60\ km/hr)t\\\\t = \frac{270\ km}{60\ km/hr}\\\\[/tex]
t = 4.5 hours
Learn more about uniform speed here:
https://brainly.com/question/17261628?referrer=searchResults
The attached picture shows the graphs of uniform and non-uniform speed.