<PRE><B>Question 946497</B>
rate * people * time = quantity of work.


the rate is the average rate per person.


you get r*p*t = q


when you have 1 person doing the work, it takes 4500 minutes.


you get p = 1 and t = 4500 in the equation.


the formula becomes:


r*1*4500 = q


solve for r to get r = q/4500.


you want to know how many people it takes to do the same job in 6 hours.


the rate that each person works is presumably the same, which is q/4500.


6 hours is equal to 6 * 60 = 360 minutes.


r is equal to q/4500
t is equal to 360
p is what you want to solve for.


the equation of r*p*t = q becomes:


q/4500 * p * 360 = q


multiply both sides of the equation by 4500 / q to get p * 360 = q * 4500 / q.


simplify to get p * 360 = 4500


divide both sides of this equation by 360 to get p = 4500 / 360.


this results in p = 12.5.


if 1 person does it in 4500 minutes, then 12.5 people are required to do it in 360 minutes.


the value of q was irrelevant because it canceled out.


this means you could have replaced q with any number and the results would be the same.












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