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a faucet drains a tank in 8 hours and an other one fills it in 6 hours , in how many hours will the tank fill up if it is empty and both faucets are turned on the same time ?

 Jan 6, 2016
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   a faucet drains a tank in 8 hours and an other one fills it in 6 hours ,

   in how many hours will the tank fill up if it is empty and both faucets are turned on the same time ?     

 

   Rate TO FILL     = 1/6 tank per hour     

   Rate TO EMPTY = 1/8 tank per hour     

 

   Net  =  ( 1/61/8 ) tank per hour     need common denominator     

           =  ( 4/243/24 ) tank per hour     

           =  1/24 tank per hour     

 

   At 1/24 tank per hour, it will take 24 hours to fill the tank.     

   .     

 Sep 5, 2026

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