Ex 11.1, 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?Given,
Mast of model ship is 9 cm high if mast of actual ship is 12m high.
Let length of model ship be x cm if length of actual ship is 28 cm.
Thus, our table looks like
Now, as Length in actual ship increases,
Length in model ship also increases.
∴ Length in model ship and in actual ship are in direct proportion.
𝟗/𝟏𝟐 = 𝒙/𝟐𝟖
9/12 × 28 = 𝑥
3/4 × 28 = 𝑥
3 × 7 = 𝑥
21 = 𝑥
𝒙 = 21
∴ Length of model ship is 21 m

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

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