Question

Rylen hiked 3/4 of a mile in 2/3 of an hour . What was his hiking speed in miles per hour?11 Question 1 options: 1/8 miles per hour 1 1/8 miles per hour 8/9 miles per hour 1 5/12 miles per hour

Answer 1

Answer:

$1\dfrac{1}{8}\ \text{miles per hour}$

Step-by-step explanation:

D = distance

v = speed

t = time

Distance formula says that

$D=v\cdot t$

You are given

$D=\dfrac{3}{4}$ miles

$t=\dfrac{2}{3}$ hour

$v$ is unknown.

Substitute them into the distance formula:

$\dfrac{3}{4}=v\cdot \dfrac{2}{3}\\ \\3\cdot \dfrac{3}{4}=2v\ [\text{Multiplied by 3}]\\ \\\dfrac{9}{4}=2v\\ \\v=\dfrac{\frac{9}{4}}{2}\ [\text{Divided by 2}]\\ \\v=\dfrac{9}{4}\cdot \dfrac{1}{2}=\dfrac{9}{8}=1\dfrac{1}{8}\ \text{miles per hour}$