Chapter 8.5, Problem 51PPS

To determine

How far apart are the places.

Answer to Problem 51PPS

  $\text{270miles}$

Explanation of Solution

Given:

The scale, $\text{1inch}=22.5\text{miles}$ .

Concept Used:

Rules of Addition/ Subtraction:

• Two numbers with similar sign always get added and the resulting number will carry the similar sign.
• Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Rules of Multiplication/ Division:

• The product/quotient of two similar sign numbers is always positive.
• The product/quotient of two numbers with opposite signs is always negative.

Calculation:

In order to find the distance between the places, use the unitary method with the given scale and simplify further as shown below,

  $\begin{array}{c}\text{1inch}=22.5\text{miles}\\ \text{So,}\\ \text{12inch}=22.5\text{miles}\times \text{12}\\ \text{=270miles}\end{array}$

Thus, the places are far is $\text{270miles}$ .