SOLUTION: solve the following: Pipe A and Pipe B working together can fill a tank in 2 hours. If Pipe B requires 7 hours to fill the tank, how long does it take Pipe A to fill the tank alone

Algebra ->  Rate-of-work-word-problems -> SOLUTION: solve the following: Pipe A and Pipe B working together can fill a tank in 2 hours. If Pipe B requires 7 hours to fill the tank, how long does it take Pipe A to fill the tank alone      Log On


   



Question 865857: solve the following: Pipe A and Pipe B working together can fill a tank in 2 hours. If Pipe B requires 7 hours to fill the tank, how long does it take Pipe A to fill the tank alone?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of filling to get
their rate of filling together
A's rate:
( 1 tank filled ) / ( t hrs )
B's rate:
( 1 tank filled ) / ( 7 hrs )
Rate for A and B together:
( 1 tank filled ) / ( 2 hrs )
-------------------------------
+1%2Ft+%2B+1%2F7+=+1%2F2+
Multiply both sides by +14t+
+14+%2B+2t+=+7t+
+5t+=+14+
+t+=+14%2F5+
+t+=+2.8+ hrs
+.8%2A60+=+48+
Pipe A alone fills the tank in
2 hrs 48 min