A tank initially contains 50 gallons of fresh water. Brine contains 2 pounds per gallon of salt, flows into the tank at the rate of 2 gallons per minutes and the mixture kept uniform by stirring, runs out at the same rate. If it will take for the quantity of salt in the tank to increase from 40 to 80 pounds (in seconds) is `206lambda`, then find `lambda`

A tank initially contains 50 gallons of fresh water. Brine contains 2 pounds per gallon of salt, flows into the tank at the rate of 2 gallons per minutes and the mixture kept uniform by stirring. runs out at the same rate. If it will take for the quantity of salt in the tank to increase from 40 to 80 pounds ( in seconds) is 206λ, then find λ.

A tank initially contains 50 litres of pure water. Starting at time t = 0 a brine containing with 2 grams of dissolved salt per litre flows into the tank at the rate of 3 litres per minutes. The mixture is kept uniform by stirring and the well - stirred mixture simultaneously flows out of the tank at the same rate. Find the amount of salt present in the tank at any time t gt 0 .

A partially filled pool contains 600 gallons of water. A hose is turned on, and water flows into the pool at the rate of 8 gallons per minute. How many gallons of water will be in the pool after 70 minutes?

A 50 L tank initailly contains 10 L of fresh water, At t=0, a brine solution containing 1 lb of salt per gallon is poured into the tank at the rate of 4 L/min, while the well-stirred mixture leaves the tank at the rate of 2 L/min. Then the amount of time required for overflow to occur in

A 50 L tank initailly contains 10 L of fresh water, At t=0, a brine solution containing 1 lb of salt per gallon is poured into the tank at the rate of 4 L/min, while the well-stirred mixture leaves the tank at the rate of 2 L/min. Then the amount of time required for overflow to occur in

A tank contains 100 litres of fresh water. A solution containing 1 gm/litre of soluble lawn fertilizeruns into the tank the of 1 lit/min and the mixture pumped out of the tank at the rate of at rate of f 3 litres/min. Find the time when the amount of fertilizer in the tank is maximum.

A tank contains 100 litres of fresh water.A solution containing 1 gm/litre of soluble lawn fertilizeruns into the tank the of 1 lit/min and the mixture pumped out of the tank at the rate of at rate of f3 litres/min.Find the time when the amount of fertilizer in the tank is maximum.

A tank consists of 50 litres of fresh water. Two litres of brine each litre containing 5 gms of dissolved salt are run into tank per minute, the mixture is kept uniform by stirring, and runs out at the rate of one litre per minute. If ‘m’ grams of salt are present in the tank after t minute, express ‘m’ in terms of t and find the amount of salt present after 10 minutes