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

**Solution:**

Let the length of the actual ship be x and that of the model ship be y

Actual ship |
Model ship |

12 cm | 9 cm |

28 m | ? |

More the length of the ship more would be the length of its mast. Hence, this is a direct proportion.

Two numbers x and y are said in direct proportion if, the relationship between two quantities is such that if we increase one, the other will also increase, and if we decrease one the other quantity will also decrease.

x/y = k, x = ky

where k is a constant.

Thus, x₁_{ }/ y₁ = x₂ / y₂

12 / 9 = 28 / y₂

y₂ = (28 × 9) /12

y₂ = 21 m

Thus, the length of the actual ship is 21 m.

**☛ Check: **NCERT Solutions for Class 8 Maths Chapter 13

**Video Solution:**

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

NCERT Solutions Class 8 Maths Chapter 13 Exercise 13.1 Question 6

**Summary:**

In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 cm high. If the length of the actual ship is 28 m, the length of the model ship is 21 m.

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