If it takes 3 people 2 hours to clean , how long will it take 4 people

so it takes 6 working hours to clean

split that amongst 4 people takes
6/4 hrs or 1.5 hours

16 hours

To determine how long it will take 4 people to clean, we can use the concept of work done. If 3 people can clean a certain area in 2 hours, we can say that the work done is 1 unit (let's assume it's one area).

So, the rate of work for 3 people is 1 unit of work per 2 hours, or 1/2 units per hour.

Now, let's calculate how long it will take 4 people to clean the same area.

Since 3 people can complete the work in 2 hours at a rate of 1/2 units per hour, we can scale up the rate by multiplying it by 3/4 to account for the additional person.

Rate of work for 4 people = (3/4) * (1/2) = 3/8 units per hour.

To find how long it will take 4 people to complete the work, we can take the reciprocal of the rate of work:

Time required for 4 people = 1 / (3/8) = 8/3 hours.

Therefore, it will take 4 people approximately 2 hours and 40 minutes (or 8/3 hours) to clean the same area.