SOLUTION: 2 h and 30 mins to fill a swimming pool using 2 hose pipes,how long will it take nina to fill the pool if she uses 3

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 2 h and 30 mins to fill a swimming pool using 2 hose pipes,how long will it take nina to fill the pool if she uses 3      Log On


   

Question 459216: 2 h and 30 mins to fill a swimming pool using 2 hose pipes,how long will it take nina to fill the pool if she uses 3
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I assume they all fill at the same rate
which is: (.5 pool filled) / (2.5 hrs)
(note that each hose can fill 1/2 pool in 2.5 hrs)
Now add the rates to find time, t for 3 hoses
+.5%2F2.5+%2B+.5%2F2.5+%2B+.5%2F2.5+=+1%2Ft+
+1%2F5+%2B+1%2F5+%2B+1%2F5+=+1%2Ft+
+3%2A%281%2F5%29+=+1%2Ft+
Multiply both sides by 5t
+3t+=+5+
+t+=+3%2F5+ hr
+t+=+%283%2F5%29%2A60+=+36+ min
It takes 36 min to fill the pool with 3 hoses