Chapter 6.6, Problem 27E

To determine

To find : The distance on the map which has a scale of 1 inch : 3 kilometres .

Answer to Problem 27E

The distance on map will be $0.16$ km.

Explanation of Solution

Given information:

Consider the actual distance be $0.5$ km.

Calculation :

Assume the distance on the map be ‘ $x$ ’.

distance on the maphas a scale of 1 inch : 3 km and the actual distance be $0.5$ km.

Therefore,

The equation will be-

  $\begin{array}{l}\frac{1}{3}=\frac{x}{0.5}\left[\text{use cross multiplication property}\right]\\ 3x=0.5\\ x=\frac{0.5}{3}\left[\text{Divide}\right]\\ x=0.16\end{array}$

The distance on map will be $0.16$ km.