Answer:
It takes 46 minutes for 10 people to paint 3 walls
It takes 92 minutes for 10 people to paint 6 walls (twice as long because you have twice as many walls)
you only have 4 people to paint the walls instead of 10 people
therefore it will take 2.5 times as long (10/4=2.5)
2.5*92=230 minutes
Explanation:
This is actually a proportion question the one with the k.
So the question is about time so let's put a t first and a k on the other side.
t = k
Then let P = people and W = wall.
Let's take a look at the P first.
As the people increases, of course, the work would be faster making the time less. P go up, t go down. Meaning they're inversely proportional.
t = k/P
Next, the wall. When increasing the wall, you're increasing the work to do, and when the work increases, of course the time will also increase. Making them directly proportional.
t = (kW)/P
Using the first scenario:
46 = (k*3)/10
You will get the value of k = 460/3
Onto the second scenario:
t = kW/P; k = 460/3; W = 6; P = 4
t = ((460/3)*6)/4
t = 230 mins