SOLUTION: Two pipes empty into a tank. One pipe can fill the tank in 5.0 h, and the other in 6.0 h. How long will it take both pipes together to fill the tank?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Two pipes empty into a tank. One pipe can fill the tank in 5.0 h, and the other in 6.0 h. How long will it take both pipes together to fill the tank?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1054510: Two pipes empty into a tank. One pipe can fill the tank in 5.0 h, and the other in 6.0 h. How long will it take both pipes together to fill the tank?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of filling
pipe 1:
[ 1 tank filled ] / [ 5 hrs ]
pipe 2:
[ 1 tank filled ] / [ 6 hrs ]
--------------------------
Let +t+ = time in hrs for both
pipes to fill the tank
rate with both pipes filling:
[ 1 tank filled ] / [ t hrs ]
+1%2F5+%2B+1%2F6+=+1%2Ft+
Multiply both sides by +30t+
+6t+%2B+5t+=+30+
+11t+=+30+
+t+=+2.727+ hrs
and
+.727%2A60+=+43.6+ min
-------------------------
The tank will fill in 2 hrs 43.6 min