# How many miles did she hike if she hiked for 1.75 hrs at a speed of 3.5 mi/h ?

Oct 4, 2015

The distance traveled is $\text{6.1 mi}$.

#### Explanation:

The formula for speed is $s = \frac{d}{t}$, where $s = \text{speed, d=distance, and t=time}$ .

Known/Given
$s = 3.5 \text{mi/h}$
$t = 1.75 \text{h}$

Unknown
distance

Equation
$s = \frac{d}{t}$

Solution
Rearrange the equation to isolate distance, then solve for distance.

$s \cdot t = d$

$\left(3.5 \text{mi/h")(1.75"h}\right) = d$

$\text{6.125 mi} = d$

Switch sides.

$d = \text{6.125 mi"="6.1 mi}$ rounded to two significant figures.