Answer:
Option B is correct.
Total time that Antony's family spent driving to and from the lake = 8.5 hr
Explanation:
Using time formula:

As per the given statement: Anton's family drove 216 mi to the lake averaging 48 mi/hr .On the return trip home they averaged 54 mi/hr
⇒ Anton's family drove total distance = 216 mi
Speed of Antony's family driving to lake = 48 mi/hr
Time taken to driving to lake =

Now,
Speed of Antony's family driving from lake = 54 mi/hr
Time taken to driving from lake =

Total time spent driving to and from the lake = 4 + 4.5 = 8.5 hr.
therefore, the total time that Antony's family spent driving to and from the lake was, 8.5 hr