SOLUTION: 6 people take 14 days to build 18 computers...how long will 10 people take to build 30 computers?
Algebra.Com
Question 920418: 6 people take 14 days to build 18 computers...how long will 10 people take to build 30 computers?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the formula to use is r*p*t = q
r = rate per person
p = number of persons
t = time
q = quantity
in this problem:
r = rate per person that you need to solve for.
p = 6 people
t = 14 days
q = 18 computers
use these numbers to solve for r in the equation.
you get r*p*t = q becomes:
r*6*14 = 18
solve for r to get r = 3/14.
this means that 1 person can build 3/14 of a computer in 1 day.
at that rate, 6 people can build 6 * 3/14 * 14 = 18 computers in 14 days.
the value of r is confirmed as good and can be used to solve the rest of the problem.
the question is how long will 10 people take to build 30 computers.
the formula of r*p*t = q becomes:
3/14 * 10 * t = 30
solve for t to get t = 14 days
10 people working at a rate of 3/14 computers per day can build 30 computers in 14 days.
formula of 3/14 * 10 * t = 30 becomes:
3/14 * 10 * 14 = 30 which becomes 3 * 10 = 30 which becomes 30 = 30
solution is good.
answer to the question is that 10 people will build 30 computers in 14 days working at the rate of 3/14 computers per person per day.
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