Anton's family drove 216 mi to the lake averaging 48 ​ mi/h ​ . on the return trip home they averaged 54 mi/h . what was the total time that anton's family spent driving to and from the lake? 8.0 h 8.5 h 9.0 h 9.5 h

For this case we have that the distance that it is necessary to cross to arrive at the lake is of 216 miles.

If the family went there with an average of

To know the time it took me to travel 216 miles, we make a rule of three:

Let "x" be the time spent going to the lake:

48 miles -------------> 1 h

216 miles -----------> x

Thus, to reach the lake they had to travel 4.5 hours.

Now, back home they averaged

To know how much time they used back home, we make a rule of three (to return also travel 216 miles):

Let "y" be the time spent returning home:

54 miles -------------> 1 h

216 miles -----------> y

Thus, the total time is given by:

8.5 hours

Option B

(driving to the lake) 216 divided by 48 = 4.5
(driving from the lake) 216 divided by 54 = 4

4.5+4=8.5

They drove a total of 8.5 hours to and from the lake.

8.5 h

Step-by-step explanation:

On the trip to the lake:

d=rt

216 = 48*t

Divide by 48

216/48 = 48t/48

4.5 =t

On the trip from the lake:

d=rt

216 = 54*t

Divide by 54

216/54 = 54t/54

4 =t

The total time spent driving is the time to and the time from

total time = 4.5 +4

                = 8.5 hours

Option B is correct.

Total time that Antony's family spent driving to and from the lake = 8.5 hr

Step-by-step 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

8.5 B

Step-by-step explanation:

took the test on k-12 :)