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Question 946497: it takes 1 person 4500 minutes to take down the seats, how many people will they need to do it in 6 hours?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! 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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