8th Class Mathematics Direct and Inverse Proportions

  • question_answer 6)                 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?                

    Answer:

                    Let the length of the model ship be \[x\,\,cm\]. We form a table as shown below:                

    Actual ship Model
    Length of the ship 28 m \[x\]
    Height of the mast 12 m 9 cm
      More the length of the ship, more would be the length of its mast. Hence, this is a case of direct proportion. That is,                 \[\frac{{{x}_{1}}}{{{y}_{1}}}=\frac{{{x}_{2}}}{{{y}_{2}}}\] \[\Rightarrow \]               \[\frac{28}{12}\,=\frac{x}{9}\] \[\Rightarrow \]               \[12x=28\times 9\] \[\Rightarrow \]               \[x=\frac{28\times 9}{12}\] \[\Rightarrow \]               \[x=21\] Hence, the length of the model ship is 21 cm.

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