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Mathematics

Total length of 153 iron bars is 680 m. What will be the total length of 135 similar bars.

Direct & Inverse Variations

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Answer

Let x m be total length of 135 bars.

Iron barsLength (in m)
153680
135x

Since it is a case of direct variation,

∴153680=135x⇒x=135×680153⇒x=91,800153⇒x=600\therefore \dfrac{153}{680} = \dfrac{135}{x}\\[1em] \Rightarrow x = \dfrac{135 \times 680}{153}\\[1em] \Rightarrow x = \dfrac{91,800}{153}\\[1em] \Rightarrow x = 600

Hence, 600 m is the total length of 135 bars.

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