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.
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
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6 workers will take 1/6 as long to paint a house, so
6 workers can finish painting a house in 1 day
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5 houses will take 5 times as long, so
6 workers can finish painting 5 houses in 5 days
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?
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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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