Answer:
distance around the lake is 4.5 miles.
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:
![speed=(distance)/(time)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7gzx4iml15gaaazw2kr88crmygjkulbo0g.png)
![3=(D)/(1.5)](https://img.qammunity.org/2020/formulas/mathematics/high-school/fdz9h00fizxz8xtxmiifj97tcngu11sggp.png)
![3{*}1.5=D](https://img.qammunity.org/2020/formulas/mathematics/high-school/93604c33rsk11k7jxjmnke4mmgpca85dlv.png)
![D=4.5 miles](https://img.qammunity.org/2020/formulas/mathematics/high-school/483suabvd4qx9rxc8iwczoh935rsmhw795.png)
Therefore, the distance around the lake is 4.5 miles.