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

`1(1)/(8)\ \text{miles per hour}`

Explanation:

D = distance

v = speed

t = time

Distance formula says that

`D=v\cdot t`

You are given

`D=(3)/(4)` miles

`t=(2)/(3)` hour

`v` is unknown.

Substitute them into the distance formula:

`(3)/(4)=v\cdot (2)/(3)\\ \\3\cdot (3)/(4)=2v\ [\text{Multiplied by 3}]\\ \\(9)/(4)=2v\\ \\v=((9)/(4))/(2)\ [\text{Divided by 2}]\\ \\v=(9)/(4)\cdot (1)/(2)=(9)/(8)=1(1)/(8)\ \text{miles per hour}`