SOLUTION: If it takes 3 people 4 hours to paint a room, how long will it take 2 people to paint the same room?

Question 794213: If it takes 3 people 4 hours to paint a room, how long will it take 2 people to paint the same room?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
So many people painting the room, best is to find the rate of 1 person to paint the room. Then calculate what you want (or are asked).

Recognize, "paint the room" is 1 task. One job.

3 people_______________4 hours______________1 job
(3/3)=1 people___________3*4 hours____________same 1 job

The one-person rate is 12 hours to do the job.
You can express this as jobs per hour, the one-person rate.

How much time for 2 people to do this one job?
The rates of each person is simply additive.
corresponds to rate*hours=jobs and h is a variable for how many hours.

.
Six hours for two people to paint the room.

---------------------------
Hopefully, you can intuitively understand that "(3/3)...." line above in the solution and discussion.
RELATED QUESTIONS
If it takes 3 people 4 hours to paint a room. How long will it take 2 people to paint the (answered by josgarithmetic)

it takes 3 people 4 hours to paint a room how long will it take for 2 people to paint the (answered by ankor@dixie-net.com)

If it takes three people 2 1/2 hours to paint a room how long will it take for 5 people... (answered by edjones)

if it takes 1 man 3 hours to paint 1 room and it takes another man 4 hours to paint the... (answered by ankor@dixie-net.com)

sally can paint a room in 6 hours, it takes steve 3 hours to paint the same room. how... (answered by josmiceli)

It takes Sue 3 hours to paint a room and it takes Joe 5 hours to paint the same room. If (answered by checkley77)

if john can paint a room in 2 hours while peter takes 6 hours . how long will it take... (answered by ewatrrr,richwmiller)

Sally can paint a room in 3 hours while it takes Steve 4 hours to paint the same room.... (answered by Edwin McCravy)

Sally can paint a room in 3 hours while it takes Steve 4 hours to paint the same room.... (answered by richwmiller)