SOLUTION: 6 people take 14 days to build 18 computers...how long will 10 people take to build 30 computers?

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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.