Answer:
October 30 is the day of the month she will run and walk during the same day.
Step-by-step explanation:
To determine what day of the month will she run and walk during the same day, we will list the days she plans to go running and the days she plans to walk.
From the question, Lisa plan to go running every fifth day and walk every sixth day, then
If she begins on October 1, the days she will run will be
October 5, October 10, October 15, October 20, October 25, and October 30;
while the days she will walk will be
October 6, October 12, October 18, October 24, and October 30.
Since October 30 occurred among the days she will run and walk, then October 30 is the day of the month she will run and walk during the same day.