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Lostsunrise [7]
3 years ago
14

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 charge

d robot clean a room that is 400 square feet without recharging?
Mathematics
1 answer:
vekshin13 years ago
8 0

Answer:

The robot can clean the room without recharging.

Step-by-step explanation:

Given:

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

The robot cleans \frac{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 =\frac{1}{2} square foot.

We know that, 1 minute =60 seconds.

So, 15 minutes =15\times 60=900 seconds.

Now, area cleaned by the robot in 900 seconds =\frac{1}{2} \times 900=450 square feet.

The area to be cleaned is 400 square feet.

Hence, the robot can clean the room without recharging.

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