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26 January, 05:56

Quantities $r$ and $s$ vary inversely. When $r$ is $1200,$ $s$ is $0.35.$ What is the value of $s$ when $r$ is $2400$?

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Answers (1)
  1. 26 January, 09:55
    0
    0.175

    Explanation:

    Data provided in the question:

    r and s vary inversely

    Mathematically, we can represent the relation as

    rs ∝ 1

    or

    rs = k ... (i)

    here,

    k is the proportionality constant

    when,

    r = 1200; s = 0.35

    thus,

    1200 * 0.35 = k

    or

    k = 420 ... (ii)

    similarly for case when r = 2400

    rs = k [ From (i) ]

    2400s = 420 [ value of k from (ii) ]

    or

    s = 0.175
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