Chapter 6.4, Problem 29E

To determine

To find:the time of hike $19.5miles$ when hike $6.5miles$ in $2hours$ .

Answer to Problem 29E

the time of hike $19.5miles$ is $6hours$ when hike $6.5miles$ in $2hours$ .

Explanation of Solution

Given information :

  $6.5miles$ in $2hours$ .

Formula used:

  $speed=\frac{dis\tan ce}{time}$

Calculation: to find the speed, find the ratio of hike with time ,

  $\begin{array}{l}speed=\frac{hike}{time}\\ speed=\frac{6.5}{2}\text{ [substitue]}\\ speed=3.25miles\text{ per hour [divide]}\end{array}$

Then find the time divide hike by speed,

  $\begin{array}{l}time=\frac{hike}{speed}\\ time=\frac{19.5}{3.25}\text{ [substitute]}\\ time=6hours\text{ [divide]}\end{array}$

Hence,the time of hike $19.5miles$ is $6hours$ when hike $6.5miles$ in $2hours$ .