Chapter 5, Problem 11A

Interpretation Introduction

Interpretation: Conversion of $100\text{mi}$ distance into kilometers needs to be explained.

Concept Introduction: Choose a conversion factor to convert from mi to kilometre, which cancels the units and omits the units in the result. Conversion factors are the ratios of two parts of the unity report which compares two units. In case of conversion of mi to kilometers the conversion factor is $\frac{1.60934\text{kilometre}}{1\text{mi}}$ .

Answer to Problem 11A

  $100\text{mi}$ is equal to $160.934\text{kilometre}$ .

Explanation of Solution

Miles and kilometers both are units of distance.

Convert $100\text{mi}$ to kilometer as follows:

  $\begin{array}{c}1\text{mi}=1.60934\text{kilometre}\\ \text{100}\text{mi}=100\text{mi}\times \frac{1.60934\text{kilometre}}{1\text{mi}}\\ =160.934\text{kilometre}\end{array}$

Hence, $100\text{mi}$ is equal to $160.934\text{kilometre}$ .

Conclusion

  $100\text{mi}$ is equal to $160.934\text{kilometre}$ .