Question

Melissa walks 3 miles to the house of a friend and returns home on a bike. She averages 3 times faster when cycling than when walking,and the total time for both trips is two hours. Find her walking.

Answer 1

Given

Melissa walks 3 miles to the house of a friend and returns home on a bike. She averages 3 times faster when cycling than when walking,and the total time for both trips is two hours. Find her walking speed.

Solution

Total distance = 3miles

Let's represent speed with x

`\begin{gathered} \text{Walking time=}(3)/(x) \\ \text{cycling time=}(3)/(3x) \\ SINCE\text{ the total time is 2} \\ (3)/(x)+(1)/(x)=2 \\ \\ (4)/(x)=2 \\ 2x=4 \\ \text{divide both sides by 2} \\ (2x)/(2)=(4)/(2) \\ x=2mile\text{ per hour} \end{gathered}`

The final answer

`2\text{ mile per hour}`