Question

Ok It takes 46 minutes for 10 people to paint 3 walls. How many minutes does it take 4 people to paint 6 walls

Answer 1

To solve this problem, all we have to do is to closely analyze the situation and use the principle of ratio and proportion.

What we have to do first is to write the given values in terms or units of job / (man hour). In this case, the job refers to the number of walls that can be painted by the specified number of man and number of hours.

For the 1st case:

3 walls / (10 people * 46 minutes)

 

For the 2nd case:

6 walls / (4 people * t)

 

Now to solve for t, we equate the two cases:

3 walls / (10 people * 46 minutes) = 6 walls / (4 people * t)

t = (6 walls / 4 people) / [3 walls / (10 people * 46 minutes)]

t = 1.5 / (3 / 460)

t = 230 minutes

 

Therefore it requires 230 minutes for 4 people to paint 6 walls.