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.
