SOLUTION: Could you please help me with this word problem. I'm really having a hard time with it: Pipes A and B can fill a storage tank in 8 hours and 12 hours. With the tank empty, pipe A w

Question 25854: Could you please help me with this word problem. I'm really having a hard time with it: Pipes A and B can fill a storage tank in 8 hours and 12 hours. With the tank empty, pipe A was turned on at noon, and then pipe B was turned on at 1:30 P.M. At what time was the tank full?
Thank you.
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
Pipes A and B can fill a storage tank in 8 hours and 12 hours.
THAT IS PIPE A CAN FILL IN 1 HR.1/8 TANK AND
PIPE B CAN FILL IN 1 HOUR 1/12 TANK
With the tank empty, pipe A was turned on at noon, and then pipe B was turned on at 1:30 P.M.
HENCE IN 1=30 PM - 12 = 00 NOON =1.5 HRS PIPE A FILLS 1.5*1/8 TANK=1.5/8 TANK
REST TO BE FILLED =1-1.5/8=6.5/8 TANK
WHEN A AND B ARE OPEN IN 1 HOUR THEY FILL 1/8 +1/12 TANK = 5/24 TANK
HENCE TO FILL 6.5/8 TANK THEY NEED
{(6.5/8)/(5/24)}=(24*6.5)/(8*5)=3.9 HRS.=3 HRS 54 MTS
HENCE THE TANK WILL BE FULL AT 1=30.....+.....3=54.......5=24 PM
At what time was the tank full?

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