Answer:
Elena's running speed is 5 miles/hour
Explanation:
The speed is defined as the covered distance per unit time
In the problem, we have:
The distance covered is the length (circumference) of the circular track which is given as [tex]\frac{1}{4}[/tex] of a mile.
We are also given that she completes each lap (she completes [tex]\frac{1}{4}[/tex] of a mile) in [tex]\frac{1}{20}[/tex] of an hour
To get her speed, we will divide the distance covered by the time taken to cover this distance
This is done as follows:
speed = [tex]\frac{\frac{1}{4} }{\frac{1}{20} } = 5[/tex] miles/hour
This means that:
Elena can run 5 miles each hour
Hope this helps :)
The running speed of Elena is 5 miles/hour and this can be determined by using the formula of speed.
Given :
Speed formula is used to determine the speed of Elena. The formula of speed is given by:
[tex]\rm S = \dfrac{D}{T}[/tex] ----- (1)
where S is the speed, D is the distance and T is the time taken by Elena to run a circle.
Now, put the value of distance D and time T in the equation (1).
[tex]\rm Speed = \dfrac{\dfrac{1}{4}}{\dfrac{1}{20}}[/tex]
[tex]\rm Speed = \dfrac{1}{4}\times 20[/tex]
Speed = 5 miles/hour
Therefore, the running speed of Elena is 5 miles/hour.
For more information, refer to the link given below:
https://brainly.com/question/22610586
