SOLUTION: At 10:00 a.m. pipe A began to fill an empty storage tank. At noon, pipe A malfunctioned and was closed. Pipe B was used to finish filling the tank. If pipe A needs 6h to fill the t

Algebra ->  Rate-of-work-word-problems -> SOLUTION: At 10:00 a.m. pipe A began to fill an empty storage tank. At noon, pipe A malfunctioned and was closed. Pipe B was used to finish filling the tank. If pipe A needs 6h to fill the t      Log On


   



Question 548134: At 10:00 a.m. pipe A began to fill an empty storage tank. At noon, pipe A malfunctioned and was closed. Pipe B was used to finish filling the tank. If pipe A needs 6h to fill the tank alone and pipe B needs 8h, at what time was the tank full?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
First find out how much of the tank by
pipe A alone
10 AM to noon is 2 hrs
Pipe A's rate is ( 1 tank )/( 6 hrs )
+%281%2F6%29%2A2+=+1%2F3+ of a tank
------------------------
There is 2/3 of the tank left to fill
Let t = time in hrs for B to finish filling tank
B's rate is ( 1 tank ) / ( 8 hrs )
+%28+1%2F8%29%2At+=+2%2F3+
Multiply both sides by 24
+3t+=+16+
+t+=+5.333+
The time used by both pipes is +2+%2B+5.333+=+7.333+
This is 7 hrs and 20 min to fill the tank