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If 4.5 m of a uniform rod weighs 17.1 kg, what is the weight of 12 m of such a rod?

(a) 51.2 kg
(b) 53 kg
(c) 45.6 kg
(d) 56 kg

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Solution

(c) 45.6 kg

Weight of the rod of length 4.5 m = 17.1 kg
Weight of the rod of length 1 m = $\frac{17.1}{4.5}$ kg [less length, less weight]

∴ Weight of the rod of length 12 m = $\frac{17.1}{4.5} \times 12$ = 45.6 kg [more length, more weight]

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