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  • 04-01-2020
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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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  • 07-01-2020

Answer:

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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