Time To Fill The Empty Tank
Algebra
Level
2
Two pipes can fill a tank in 10 hours and 12 hours respective, while the third pipe empties the full tank in 20 hours. If all the three pipes operate simultaneously, in how much time (in minutes) the tank will be filled?
The answer is 450.
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1 solution
Each pipe contributes/remove water at the rate of 1/10th, 1/12th and 1/20th per hour. Set up the equality.
(1/10)+(1/12)-1/20 = 2/15 of the tank per hour . ( Minus 1/20th because water is being removed at that rate)
If it takes an hour to fill the tank 2/15th , then it will take 15/2 hours to fill the tank15/15th.( 1 full tank) 15/2 hours is 15/2 * 60 minutes or 450 minutes.