Question 06.
In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship?

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Solution

Let the length of model ship be x.
$\begin{matrix} L e n g t h o f a c t u a l s h i p (i n m) & 12 & 28 L e n g t h o f m o d e l s h i p (i n c m) & 9 & x \end{matrix}$

Here length of mast and actual length of ship are in direct proportion.
$∴ \frac{12}{9} = \frac{28}{x} \Rightarrow x \times 12 = 28 \times 9 \Rightarrow x = \frac{28 \times 9}{12} = 21 c m$
Hence, the length of the model ship is 21 cm.

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Relation for Direct Proportion

Standard VIII Mathematics

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Question 06. In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship?

Let the length of model ship be x. Length of actual ship (in m)1228Length of model ship (in cm)9x Here length of mast and actual length of ship are in direct proportion. ∴ 129=28x⇒ x×12=28×9⇒ x=28×912=21 cm Hence, the length of the model ship is 21 cm.

Question 06.
In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship?