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Solution: Find the amount of salt in the tank at the end of 30 minutes

A tank initially holds 100 gallons of salt solution in which 50 lbs of salt has been dissolved. A pipe fills the tank with brine at the rate of 3 gpm, containing 2 lbs of dissolved salt per gallon.

Find the amount of salt in the tank at the end of 30 minutes.

Problem Statement:

A tank initially holds 100 gallons of salt solution in which 50 lbs of salt has been dissolved. A pipe fills the tank with brine at the rate of 3 gpm, containing 2 lbs of dissolved salt per gallon. Assuming that the mixture is kept uniform by stirring, a drain pipe draws out of the tank the mixture at 2 gpm. Find the amount of salt in the tank at the end of 30 minutes.

  • A. 171.24 lbs
  • B. 124.11 lbs
  • C. 143.25 lbs
  • D. 105.12 lbs

Problem Answer:

The amount of salt in the tank at the end of 30 minutes is 171.24 lbs

Solution:

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