SOLUTION: if 20 men can make 112 meter wall in 6 days then 25 men can make how much long wall in 3 days?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: if 20 men can make 112 meter wall in 6 days then 25 men can make how much long wall in 3 days?      Log On


   

Question 1024870: if 20 men can make 112 meter wall in 6 days then 25 men can make how much long wall in 3 days?
Found 2 solutions by FrankM, Theo:
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
20 men can make 112 meter wall in 6 days
The total labor was 6*20 or 120 man-days.
So %28112meter%2F%28120%28man-day%29%29%29
and reduces to %2814meter%2F%2815%28man-day%29%29%29
%2814meter%2F%2815%28man-day%29%29%29%2875man-days%29 = 70 meters of wall.
Note - 25 men working 3 days is simply 75 man-days

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
basic formula is r * p * t = q

r is the rate that each person works at.
p is the number of people.
t is the time it take.
q is the quantity of work produced.

you have:

r = what you want to find.
p = 20
t = 6
q = 112 meters of wall.

r * p * t = q becomes r * 20 * 6 = 112.

solve for r to get r = 112/120.

r * p * t = q now becomes 112/120 * 20 * 6 = 112.

evaluate that equation to get 112 = 112, confirming the value of r is correct.

you want to know how many feet of wall 25 people can make in 3 days.

r * p * t = q becomes 112/120 * 25 * 3 = q

solve for q to get q = 112/120 * 25 * 3 = 70.

evaluate 112/120 * 25 * 3 = 70 to get 70 = 70, confirming the solution is correct.

your solution is that 25 people working at the same rate as before will make 70 feet of wall in 3 days.