Suppose Tank A has 30 gallons of water containing 55 oz (ounces) of dissolved salt, Tank B has 20 gallons of water containing 26 oz of dissolved salt and Tank C has 50 gallons of water without any salt. Water with salt concentration 1 oz/gal flows into Tank A at a rate of 1.5 gal/min. Water flows in and out of tank A, B and C are as follows: Water with salt concentration 1 oz/gal flows into Tank A at a rate of 1.5 gal/min. Water flows from Tank A to Tank B at a rate of 3 gal/min. Water flows from Tank B to Tank A at a rate of 1.5 gal/min. Water flows from Tank B to Tank C at a rate of 3.5 gal/min. Water flows from Tank C to Tank B at a rate of 1 gal/min. Water drains from Tank C at a rate of 1.5 gal/min.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Suppose Tank A has 30 gallons of water containing 55 oz (ounces) of dissolved salt, Tank B has 20 gallons of water containing 26 oz of dissolved salt and Tank C has 50 gallons of water without any salt. Water with salt concentration 1 oz/gal flows into Tank A at a rate of 1.5 gal/min. Water flows in and out of tank A, B and C are as follows: Water with salt concentration 1 oz/gal flows into Tank A at a rate of 1.5 gal/min.
Water flows from Tank A to Tank B at a rate of 3 gal/min.
Water flows from Tank B to Tank A at a rate of 1.5 gal/min.
Water flows from Tank B to Tank C at a rate of 3.5 gal/min.
Water flows from Tank C to Tank B at a rate of 1 gal/min.
Water drains from Tank C at a rate of 1.5 gal/min.
a) Sketch the diagram that describe the above system.
b) Determine the concentration of the brine inside each tank.
c) Write the mathematical model that describe the above system.
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