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If your faucet drips at 11 drop per second, it will dispense 60006000 gallons of waters per year you have three faucets in your house which leak at 33 drops of water per second how many gallons of water will leak from these faucets in six months

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Q. If your faucet drips at 11 drop per second, it will dispense 60006000 gallons of waters per year you have three faucets in your house which leak at 33 drops of water per second how many gallons of water will leak from these faucets in six months
  1. Determine Rate of Leakage: Determine the rate at which one faucet leaks water in gallons per year. One drop per second equals 60006000 gallons per year for one faucet. This is given in the problem statement.
  2. Calculate Annual Leakage: Calculate the annual leakage for one faucet that leaks at 33 drops per second.\newlineSince one drop per second equals 60006000 gallons per year, three drops per second would be three times as much.\newline3 drops/second×6000 gallons/year=18000 gallons/year3 \text{ drops/second} \times 6000 \text{ gallons/year} = 18000 \text{ gallons/year} for one faucet.
  3. Total Annual Leakage: Calculate the total annual leakage for all three faucets.\newlineWe have three faucets leaking at the same rate, so we multiply the annual leakage of one faucet by three.\newline1800018000 gallons/year/faucet 3* 3 faucets = 5400054000 gallons/year for all three faucets.
  4. Convert to Six-Month Leakage: Convert the annual leakage to a six-month leakage.\newlineSince there are 1212 months in a year, six months is half a year. Therefore, we need to divide the annual leakage by two to find the leakage for six months.\newline54000gallons/year/2=27000gallons for six months.54000 \, \text{gallons/year} / 2 = 27000 \, \text{gallons for six months}.

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