SOLUTION: 3. Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the poo

Algebra ->  Probability-and-statistics -> SOLUTION: 3. Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the poo      Log On


   

Question 162418: 3. Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?
A. 12 minutes
B. 15 minutes
C. 21 minutes
D. 23 minutes
E. 28 minutes
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add the rates of each doing the job separately
1%2F.5+%2B+1%2F.75+%2B+1%2F1.5+=+1%2Fx
multiply both sides by 1.5
3+%2B+2+%2B+1+=+1.5%2Fx
6x+=+1.5
x+=+1.5%2F6
x+=+.25
The answer is (b) 15 min