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3 February, 13:54

A fish tank has 150 gallons of water and is being drained at a rate of 1/2 gallons each second. A second fish tank has 120 gallons of each second. After how many seconds will the 2 fish tanks have the same amount of water?

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  1. 3 February, 14:20
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    Answer: after 40 seconds, the two tanks will have the same amount of water.

    Step-by-step explanation:

    Let x represent the number of seconds after which both tanks will have the same amount of water.

    A fish tank has 150 gallons of water and is being drained at a rate of 1/2 gallons each second. It means that the number of gallons of water that would be in the tank after t seconds is

    150 - 0.5t

    A second fish tank has 120 gallons and it is being filled at a rate of 1/4 gallons each second. It means that the number of gallons of water that would be in the tank after t seconds is

    120 + 0.25t

    For the volume of both tanks to he the same, then

    120 + 0.25t = 150 - 0.5t

    0.25t + 0.5t = 150 - 120

    0.75t = 30

    t = 40 seconds
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