KnowledgeBoat Logo
|

Mathematics

If x varies inversely as y and y = 300 when x = 60. Find:

  1. x, when y = 90

  2. y, when x = 300

Direct & Inverse Variations

22 Likes

Answer

1. Since it is a case of inverse variation,

60×300=x×90⇒18000=x×90⇒x=1800090⇒x=20060 \times 300 = x \times 90\\[1em] \Rightarrow 18000 = x \times 90\\[1em] \Rightarrow x = \dfrac{18000}{90}\\[1em] \Rightarrow x = 200

Hence, when y = 90, then x = 200.

2. Since it is a case of inverse variation,

60×300=300×y⇒18000=300×y⇒y=18000300⇒y=6060 \times 300 = 300 \times y\\[1em] \Rightarrow 18000 = 300 \times y\\[1em] \Rightarrow y = \dfrac{18000}{300}\\[1em] \Rightarrow y = 60

Hence, when x = 300, then y = 60.

Answered By

6 Likes

Related Questions