A tank with capacity of 2000 litre originally contains 50 kg of sugar dissolved in pure water. Pure water is pumped into the tank at the rate 4 litre per minutes and the well stirred mixture pumped out at the same rate. Determine how long it wilk take to have 24 kg sugar in the tank?

Q: How many liters of each 20% (v/v) alcohol and 80% (v/v) alcohol must be mixed to yield 20 liters of…

A: We are given two percentages of alcohol that are 20% and 80%. We have to produce 20 liters of 50%…

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Q: Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house,…

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Q: The number of bacteria in a certain culture was found to be 4 x 10° at noon of one day At noon the…

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Q: A person running at 45 kilometers per hour (KPH) is riding a train at 120 KPH going to Manila. Who…

A: Given that , Speed of a person = 45KPH  Speed of a train = 120KPH  Because, we have same unit of…

Q: At 1:00 p.m.., oil begins leaking from a tank at a rate of (4 + 0.75t) gallons per hour. , answer…

A: At 1:00 p.m.., oil begins leaking from a tank at a rate of (4 + 0.75t) gallons per hour. , Let time…

Q: A tank with a capacity of 5000 kg of water is initially half full. Twenty kilogram per minute is…

A: Given that the capacity of the tank is 5000 kg. Let Q be the quantity of water in the tank after t…

Q: Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house,…

A: Given: Distance between shoreline and Anglo= 2 kilometers. Distance between Anglo's house and…

Q: If the work required to stretch a spring 5 feet beyond its natural length is 15 foot-pounds, how…

A: first, we need to find the spring constant  W=∫0a fxdx here we have W=15 and a=5 feet 15=∫05 fxdx…

Q: A 600 gallon brine tank is to be cleared by piping in pure water at 1 gal/min. , and allowing the…

A: Let S be pounds of salt in tank at time t, so: or Rewritting the equation above we get:…

Q: A candle on Pauline dresser is 4 inches tall.and burns at a rate of 0.6 inches per hour . How many…

A: Topic - equation in one variable

Q: A 400-gal tank initially contains 100 gal of brine containing 50 lb of salt. Brine containing 1 lb…

A: Schematic diagram of the given situation:…

Q: a 400 gal tank initially contains 100 gal of brine containing 25 lb of salt. Brine containing 2 lb…

A: A real-life scenario can be described mathematically through a differential equation. By solving the…

Q: brandon walks 3 miles at a certain speed and then he jobs 3 moles per hour faster for 9 miles. If…

A:

Q: The White River flows at a rate of 4 km/h. In order for a boat to travel 76.8 km upriver and then…

A: Let x be the speed of water still in water. Then, Upstream speed is x-4 and downstream speed is x+4.…

Q: Hey laptop computer consumes about 20 W of electricity per hour when operating at 10 since per kilo…

A: Given, Power consumption of a laptop is 20 watts of electricity per hour. It is uses for 5 hours.

Q: A gas tank which can hold a total of 83 liters contains only 6 liters of gas when the driver stops…

A: Given, a gas tank which can hold a total of 83 liters contains only 6 liters of gas when the driver…

Q: The cost of installing insulation in a particular two-bedroom home is $2400. Present monthly heating…

A: Given: The cost of installing insulation in a particular two-bedroom home is $2400. Present monthly…

Q: A ship has wrecked and its crew of 300 men has been left stranded on a dessert island. The food will…

A: In equation we are equating two sides left hand side and right hand side. It contains variable,…

Q: Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house,…

A: Given :                  Distance between shoreline and Anglo = 2 km                  Distance…

Q: A 400-gal tank initially contains 100 gal of brine containing 50 lb of salt. Brine containing 1 lb…

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Q: How many mL of solution will be infused in 4 hours if the flow rate is 20mL/h?

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Q: There are 100 bacteria cells in a dish now, but in 5 hours there will be 147 cells. At what rate do…

A: There are 100 bacteria at initial time t=0. In 5 hours that is when t=5, there will be 147 cells. In…

Q: An IV Piggyback of lincomycin containing 5 gms of drug in 175 mL is to be infused over a 1 hour…

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Q: A 450 gal tank initially contains 110 gal of brine containing 52 Ib of salt. Brine containing 1lb of…

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Q: A worker uses 450 inches of steel wire to make 300 springs of the same size. At this rate how many…

A: Let he needs ' x ' inches for making 1 spring.

Q: A small metal bar with initial temperature was 20°C, is dropped into a large container of water with…

A: Here we create a differential equation based on given information. Then solve that equation.

Q: continuous IV is infusing at 40 mL/h.  How many milliliters will infuse in 30 minutes?

A: 1 hour is equal to 60 minutes.

Q: A limestone stalactite grew in length at a rate of – of a millimeter per year. At this rate, how…

A: Given the limestone is growing at a rate of 18mm per year i.e. 0.125 mm every year

Q: A 500 mL IV starts at 9pm and runs at 33gtt/min with a drop factor of 10gtt/mL.  At what time will…

A: Algebra Question

Q: A 5-kg bucket is lifted from the ground into the air by pulling in 20 m of rope at a constant speed…

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Q: A 2 lbs of salt was dissolved completely into 100 gallons of pure water. After an hour, a brine…

A: AS PER BARTLEBY GUIDELINES, EXPERTS ARE ALLOWED TO SOLVE ONLY ONE QUESTION WHEN MULTIPLE QUESTIONS…

Q: A 100 gallon tank is filled with brine containing 60 pounds of dissolved salt. Water runs into the…

A: Form the differential equation of first order and solve to get the answer.

Q: A large mixing tank initially contains 500 gallons of water in which 40 pounds of salt have been…

A: Given, A large mixing tank initially contains 500 gallons of water in which 40 pounds of salt have…

Q: A 300 gallon tank initially contains 90 gallons of brine containing 400 Ibs. of salt. Brine…

A: Given the tank contains 90 gallons of brine containing 400 lbs of salt.  The above figure shows the…

Q: The side of a cube is increasing at a rate 7m/8, then the rate at which the m³/s. volume of the cube…

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Q: What is the flushing time in days for an estuary that has a volume of 6x10^9 m^3 and discharge of…

A: Dividing the volume by discharge rate, answer is obtained

Q: How much water should be evaporated from 40% v/v alcohol in order to prepare 3000 ml of 60% ( v/v)…

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Q: As a water tank is being raised, water spills out at a constant rate of 2 ft³ per foot of rise. If…

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Q: How long will it take to purge a 15ft section of 6in pipe with a flow rate of 35cfh

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Q: A vessel with 500 gallons of beer contains 4% alcohol (by volume). Beer with 7% alcohol is pumped…

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Q: A stream containing 80 grams per liter of a dye is pumped into a mixing tank with 400 liters of…

A: The answer is 32kg

Q: One mole of gas expands isothermically to double its volume. If the gas temperature is 340 k what…

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Q: Aman invested $20,000 in the bank. Apart of it was invested at 5% and the rest at 10%. The total…

A: total amount invested $20,000 and consider the time is 1 years for which the money is invested  Let…

Q: Assume that you are attending a patient receiving intravenous medication. The doctor orders 24 mls…

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Q: Elena has a washing machine with a 20 gallon capacity. She always uses a 20 gram measure of soap for…

A: To determine the time taken to correct the error of adding extra soap to the water, we have to…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.