SOLUTION: 10 people can paint a building in 5 days. If each person paints as quickly as the others then how much of the building could 7 people paint in 5 days?

Question 1142185: 10 people can paint a building in 5 days. If each person paints as quickly as the others then how much of the building could 7 people paint in 5 days?
Found 4 solutions by Theo, josgarithmetic, ikleyn, greenestamps:
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
formula to use if r * p * t = q
r = rate that each person works at.
p = the number of people working.
t is the time
q is the quantity of work produced.

you are given that the number of persons is 10 and the time is 5 days and the quantity of work produced is 1 painted house.

the formula becomes r * 10 * 5 = 1

solve for r to get r = 1/50

that means that each person can paint an average of 1/50 of the house per day.

in 5 days, each person can paint 5/50 of the house.

10 people can therefore paint 50/50 of the hour = 1 house.

if you use 7 people, then the formula becomes 1/50 * 7 * 5 = .7

7 tenths of the house can be painted in 5 days if you only have 7 people painting.

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
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10 people can paint a building in 5 days. If each person paints as quickly as the others then how much of the building could 7 people paint in 5 days?
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If 10 people need 5 days, then 1 person needs 10*5=50 days, the paint this one building. That is, the one-person rate is jobs per days.

How much of the building painted if 7 people for 5 days?

of the building
Answer by ikleyn(52800)   (Show Source): You can put this solution on YOUR website!
.

I solved THIS PROBLEM couple of days ago under this link

https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-word-problems.faq.question.1107803.html

https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-word-problems.faq.question.1107803.html

There is no any need to post it again.

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

Same number of days; 7/10 as many workers --> 7/10 of the job completed
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