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

1 Answer

3 votes

Answer:

The robot can clean the room without recharging.

Explanation:

Given:

After a robot vacuum is fully charged, it can run for
15 minutes.

The robot cleans
(1)/(2) square foot every second.

To find: If the charged robot can clean a room that is
400 square feet without recharging.

Solution:

Area cleaned by the robot in
1 second
=(1)/(2) square foot.

We know that,
1 minute
=60 seconds.

So,
15 minutes
=15* 60=900 seconds.

Now, area cleaned by the robot in
900 seconds
=(1)/(2) * 900=450 square feet.

The area to be cleaned is
400 square feet.

Hence, the robot can clean the room without recharging.

User Elisabetta
by
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