The total time that Anton's family spent driving to and from the lake is 8.5 hours
Solution:
Time taken is given by formula:
[tex]Time = \frac{distance}{speed}[/tex]
Anton's family drove 216 mi to the lake averaging 48 mi/h
⇒ Anton's family drove total distance = 216 mi les
⇒ Speed of Antony's family driving to lake = 48 miles per hour
[tex]Time = \frac{216}{48} = 4.5[/tex]
Therefore, time taken to drive to lake is 4.5 hour
On the return trip home they averaged 54 mi/h
[tex]Time = \frac{216}{54} = 4[/tex]
Therefore, time taken to return home is 4 hours
Total time = 4.5 + 4 = 8.5 hours
Thus the total time that Anton's family spent driving to and from the lake is 8.5 hours