SOLUTION: if 3 workers can finish painting a house in 2 days, how many days will it take 6 workers to paint 5 of those (identical) house if they work at the same speed?

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Question 1033952: if 3 workers can finish painting a house in 2 days, how many days will it take 6 workers to paint 5 of those (identical) house if they work at the same speed?
Found 3 solutions by josgarithmetic, josmiceli, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
RT=W relates work rate, time, and amount of work. The basic situation needs an adjustment as nRT=W and the rate for n workers each acting together at rate R is nR.

3 workers can finish painting a house in 2 days
means . The rate for 1 worker is r. One job to be done is "paint 1 house".


how many days will it take 6 workers to paint 5 of those (identical) house if they work at the same speed?
Let t be the unknown number of day.



I stop here and you should use the information developed to solve the problem all the way through.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
3 workers can finish painting a house in 2 days
1/3 that number of workers will take 3 times as long, so
1 worker can finish painting a house in 6 days
-------------------------------------
6 workers will take 1/6 as long to paint a house, so
6 workers can finish painting a house in 1 day
---------------------------------------
5 houses will take 5 times as long, so
6 workers can finish painting 5 houses in 5 days
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.
if 3 workers can finish painting a house in 2 days, how many days will it take 6 workers to paint 5 of those (identical) house if they work at the same speed?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Make an equation by equating job rates in both cases:


 = .


The left side is job rate of 3 workers painting 1 houses in 2 days.
The right side is job rate of 6 workers painting 5 houses in x days.

Now solve this proportion for x. For it, cross-multiply:

3*2*5 = 6*x

x =  = 5.

Answer.  5 days.


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