Question

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?

• A. $14$
• B. $19$
• C. $17$
• D. $21$

Answer 1

Answer: (D)

For a 12 m high mast, the height of mast of model ship $=9cm=0.09m$
For a 1 m high mast, the height of mast of model ship $=\frac{0.09m}{12}$
Therefore, the ratio of dimensions of model ship and actual ship $=\frac{0.09m}{12}$
For a 1 m long ship, length of model ship $=\frac{0.09m}{12}$
For a 28 m long ship, length of model ship $=\frac{0.09m}{12}\ast 28=0.21m=21cm$