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A fixed volume of water is to flow into a rectangular water tank. The rate of flow can be changed by using different pipes. Write the relations between the following quantities as an algebraic equation and in terms of proportions.i. The rate of water flow and the height of the water level.ii The rate of water flow and the time taken to fill the tank. |
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Answer» i. Let x be the rate of water flowing, y be the height of water in the tank and A be the base area of the tank, then x = Ay Height of the water level in the tank is proportional to the rate of the water flowing. ii. If C is the volume of the tank, V be the volume of water flowing per second, the volume of water in ‘t’ second is given by C = V × t \(V=\frac{C}{t}=C\times\frac{1}{t}\) That is the rate of water flow and the time taken for filling the tank are inversely proportional. C is the constant of proportionality. |
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