Answer:
distance around the lake is 4.5 miles.
Step-by-step explanation:
It is given that Lucy walks on time around the lake. She walks for 1.5 hours at an average rate of 3 miles per hour which means time=t= 1.5 hours and speed=s=3 miles per hour, then the distance is given by:
[tex]speed=\frac{distance}{time}[/tex]
[tex]3=\frac{D}{1.5}[/tex]
[tex]3{\times}1.5=D[/tex]
[tex]D=4.5 miles[/tex]
Therefore, the distance around the lake is 4.5 miles.