KnowledgeBoat Logo
|

Mathematics

A car covers a certain distance with uniform speed (y km/h) in x hrs. Use the following table to find the values of a, b and c.

Speed (y km/h)a60150c
Time taken (x hrs)8b26

Ratio Proportion

21 Likes

Answer

It is a case of inverse variation:

∴ a x 8 = 60 x b = 150 x 2 = c x 6

Taking,

a x 8 = 150 x 2

⇒ a = 150×28\dfrac{150 \times 2}{8}

⇒ a = 3008\dfrac{300}{8}

⇒ a = 37.5

Taking,

60 x b = 150 x 2

⇒ b = 150×260\dfrac{150 \times 2}{60}

⇒ b = 30060\dfrac{300}{60}

⇒ b = 5

Taking,

150 x 2 = c x 6

⇒ c = 150×26\dfrac{150 \times 2}{6}

⇒ c = 3006\dfrac{300}{6}

⇒ c = 50

Hence, the value of a = 37.5, b = 5 and c = 50

Answered By

7 Likes

Related Questions