Question

A train is 32 m long. If its miniature model is 10 cm high and 1 m long, then calculate the actual height of the train.

Answer 1

Given,
1 m (1m = 100 cm) of the miniature model is equivalent to 32 m in actual.

We know that lesser is the measurement in the model, lesser is the actual measurement.

$\text{So, Model measurements}\left(x\right)\propto \text{Actual measurements}\left(y\right)$

$\therefore \frac{x_1}{y_1}=\frac{x_2}{y_2}$

Given,
$x_1=100cm$
$y_1=32m$
$x_2=10cm$
$\text{and}{y}_2=\text{actual height}$
$\Rightarrow y_2=\frac{x_2\times y_1}{x_1}$
$\Rightarrow y_2=\frac{10\times 32}{100}=3.2m$

Hence, the actual height of the train is 3.2 m.