Search Results<span>Let L denote the line of intersection. Then v = a × b = (1 − 1,−(−2 − 1),2 − (−1)) = (0,3,3) is parallel to L. We only need to find a point P on L. To find P, solved the system of equations of the planes: 2x − y + z = 5 and x + y − z = 1. We consider P to be the point of L on the plane z = 0.</span>
28 men are needed to paint the room in 3 hours
<h3><u>Solution:</u></h3>
Given that it takes 12 hours for 7 men to paint a room
We are asked to find number of men required to paint the room in 3 hours
Recognize, "paint the room" is 1 task. One job.
7 men -------- 12 hours ------ 1 job
(7/7) = 1 men ------- 12 x 7 (84) ------- same 1 job
The one men is rate is 84 hours to do the job
We can express this as 1/84 jobs per hour, the one-person rate
Now lets find how many men needed to paint the room in 3 hours
Let the required number of men for 3 hours be "a"
The rates of each person is simply additive.
corresponds to rate x hours = jobs and "a" is a variable for how many men
Thus 28 men are needed to paint the room in 3 hours
5 is you answer because absolute value is the distance on a number line from 0