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Question

A fixed volume of water flows into a rectangular water tank such that the rate of water flow can be changed by using different pipes. Which of the following relations represent(s) inverse proportions?


A

The number of pipes used and the amount of water flow into the tank

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B

The volume of the pipe used and time taken to fill the tank.

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C

The rate of water flow and the time taken to fill the tank

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D

The rate of water flow and the height of the water level.

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Solution

The correct options are
B

The volume of the pipe used and time taken to fill the tank.


C

The rate of water flow and the time taken to fill the tank


In direct proportion , as one quantity increases , the other quantity increases

In inverse proportion , as one quantity increases, the other quanitity decreases

(i) As the rate of water flow increases, the height of the water level increases.( direct proportion )
(ii)As the rate of water flow increases, the time taken to fill the tank decreases. ( inverse proportion )
(iii)If the volume of the pipe used is increased, then the time taken to fill the tank is decreased. ( inverse proportion )
(iv)If the number of pipes used is increased, then the amount of water flow into the tank is also increased.( direct proportion )


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