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29 April, 11:15

Solve the following using one variable in your equation: Water is being drained out of a tank through 2 pipes at the rate of 330L/min. We know that one pipe releases 50L/min more than the other. How much do the 2 pipes drain each.

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  1. 29 April, 13:24
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    One pipe drains 140 L/min and the other pipe drains 190 L/min

    Step-by-step explanation:

    Assume that the pipe which releases less is x L/min

    ∵ One pipe releases x L/min

    ∵ Other pipe releases 50 L/min more than it

    ∴ The other pipe releases x + 50 L/min

    ∵ Water is being drained out of a tank through these 2 pipes

    ∵ Water is being drained at rate 330 L/min through them

    - Add their rates and equate the sum by 330

    ∴ x + x + 50 = 330

    - Add the like terms in the left hand side

    ∴ 2x + 50 = 330

    - Subtract 50 from both sides

    ∴ 2x = 280

    - Divide both sides by 2

    ∴ x = 140

    ∵ x represents the rate of one pipe and x + 50 represents the

    rate of the other pipe

    ∴ One pipe drains 140 L/m

    ∴ Other pipe drains 140 + 50 = 190 L/min
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