After a robot vacuum is fully charged it can run for 15 MINS. It can vacuum 1/2 square foot every SECOND. Can a fully charged robot clean a room that is 400 square feet without recharging?

The robot would be able to clean the room without recharging

tysm

Your welcome.

To determine if a fully charged robot vacuum can clean a room that is 400 square feet without recharging, we need to calculate the total time it would take for the robot to clean the room and compare it to the 15 minutes (900 seconds) of battery life.

First, we need to calculate the total area the vacuum can clean in one charge. Since the vacuum can clean 1/2 square foot every second, we can multiply the cleaning rate by the battery life:

1/2 square foot/second * 900 seconds = 450 square feet

So, the fully charged robot vacuum can clean up to 450 square feet before the battery is drained.

Since the room is 400 square feet, it is within the vacuum's capability to clean the entire room without recharging. Therefore, the fully charged robot vacuum can clean a room that is 400 square feet without needing to be recharged.