Chapter 7, Problem 20PTTS

To determine

To find: The map distance between the two towns.

Answer to Problem 20PTTS

The map distance between the two towns $14\text{ cm}$ .

Explanation of Solution

Given information: A map has a scale of $1\text{ cm :150 m}$ . If the actual distance between two towns is $2.1\text{ kilometers}$ , what is the map distance (in centimeters) between the towns?

Calculation:

The scale of the map is $1\text{ cm :150 m}$ ,

Where the $1\text{ cm}$ map distance is representing the $150\text{ m}$ of actual distance.

Tthe actual distance is $2.1\text{ kilometers}$ .

Hence, if the actual distance is $2.1\text{ kilometeres}$

  $\begin{array}{l}=2.1\times 1000\text{ m}\\ \text{=2100 m}\end{array}$

Let’s find the map distance,

  $150\text{ m}$ of actual distance $=$ $1\text{ cm}$ of map distance

  $1\text{ m}$ of actual distance $=$ $\frac{1}{150}\text{ cm}$ of map distance

  $2100\text{ m}$ of actual distance $=$ $\frac{1}{150}\times 2100\text{ cm}$ of map distance

  $=14\text{ cm}$ of map distance

Hence, The map distance between the two towns $14\text{ cm}$ .