Chapter 6.3, Problem 34E

To determine

To find:The distance how far can the bike travel in 5 hour

Answer to Problem 34E

In 5 hours the bike can travelThe solution for the expression will be $60\text{ miles}$ .

Explanation of Solution

Given information :

Consider, the information provided, question bike can travel 24 miles in 2 hour

ExplainCalculation:

To find the distanceanswe,r use cross product of property and simplify the equation

Assume $x$ be the distance travelledhence .

X be the distance travelledation :

Therefore,

  $\begin{array}{l}\frac{24}{2}=\frac{\text{x}}{5}\\ =2\text{x = 24}\times \text{5 }\left[\text{cross product property}\right]\\ =2\text{x = 120 }\left[\text{multiply}\right]\\ \text{= x = }\frac{120}{2}\\ \text{= x = 60}\end{array}$

Therefore, the distance bikeyou can travel in 5 hours is 60 miles

To determine

To find:Tthe time in which bike can travel 30 miles

Answer to Problem 34E

The bike takes The solution for the expression will be 2 hours 30 minutes to travel 30 miles.

Explanation of Solution

Given information :

Consider, the information provided,question bike can travel 24 miles in 2 hour.

Explain:

To find the time taken,answer use cross product of property and simplify the equation hence

Let $x$ x be the time taken to travel 30 miles.

Therefore,

  $\begin{array}{l}\frac{24}{2}=\frac{30}{\text{x}}\\ =24\text{x = 30}\times \text{2 }\left[\text{cross product property}\right]\\ =24\text{x = 60 }\left[\text{multiply}\right]\\ \text{= x = }\frac{60}{24}\\ \text{= x = 2}\text{.5}\end{array}$

Therefore, the time the bike will take to travel30 miles is 2.5 hours that is 2 hours 30 minutes distance you can travel in 5 hours is 60 miles