SOLUTION: 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 t

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 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 t      Log On


   



Question 180686: 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?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
In words:
Let x= number of hours for Jim, Sue, and Tony to
fill pool working together
Jim's rate of filling + Sues rate of filling + Tony's rate of filling =
rate of all 3 filling pool together
1%2F.5+%2B+1%2F.75+%2B+1%2F1.5+=+1%2Fx
Multiply both sides by 1.5x
3x+%2B+2x+%2B+x+=+1.5
6x+=+1.5
x+=+.25 hr
All 3 filling pool together can do the job in 15 min