SOLUTION: It took 6 people to paint several offices in 5 days. How many more people need to be hired to complete the same job in 3 days?

Question 1126669: It took 6 people to paint several offices in 5 days. How many more people need to be hired to complete the same job in 3 days?
Found 4 solutions by josgarithmetic, greenestamps, ikleyn, jayesh.nandhu:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
n, how many more people

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

3/5 as many days to complete the job means you need 5/3 as many workers.

5/3 of 6 is 10; you need 10 workers.

10 is 4 more than 6.

ANSWER: you need 4 more workers.
Answer by ikleyn(52785)   (Show Source): You can put this solution on YOUR website!
.
This job requires 6*5 = 30 worker-days.

To complete it in 3 days, you need    = 10 workers.

Hence, 4 workers need to be added to the given 6 workers.

Answer by jayesh.nandhu(2)   (Show Source): You can put this solution on YOUR website!
N1 x D1 = N2 x D2
Where N1 and N2 are the number of mens & D1 and D2 are the number of days.
N1 = 6, D1 = 5, N2 = ?, D2 = 3
Put N2 = X
N1 x D1 = X x D2
X = (N1 x D1)/ D2
X = (6 x 5 )/ 3
X= 10 people needed
So no of people hired = 10-6 = 4
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