Respuesta :
Hello from MrBillDoesMath!
Answer:
(4/3)x miles/hour
Discussion:
The relevant formula is
distance = (rate) * (time)
which is equivalent to
rate = distance/ time
In our case this becomes
rate = x miles / (3/4) hour
= 4/3 x miles/hour
Thank you,
MrB
The average speed of a body is the ratio of the total distance covered by the body to the total time taken by it.the average speed of the train is 4x/3 miles per hour or x/45 miles per minute.
Given information-
The distance traveled by the train is x miles.
The time taken by the train is 3/4 hours.
What is average speed?
The average speed of a body is the ratio of the total distance covered by the body to the total time taken by it.
[tex]\overline v=\dfrac{\Delta x}{\Delta t}[/tex]
Here, [tex]t[/tex] is time taken and [tex]x[/tex] is the distance traveled by the body.
Now the time taken by the train is 3/4. As we know that there is total 60 minutes in a hour thus,
[tex]t=\dfrac{3}{4} \times 60\\t=45[/tex]
Thus the total time taken by the train is 45 minutes.
Use the formula of average speed to find the average speed of the train witch travels [tex]x[/tex] miles in 3/4 hours or 45 minutes,
[tex]\overline v=\dfrac{x}{\dfrac{3}{4} } \\\overline v=\dfrac{4x}{3}[/tex]
Thus the average speed of the train is 4x/3 miles per hour.
In minutes,
[tex]\overline v=\dfrac{x}{45 }[/tex]
Hence the average speed of the train is 4x/3 miles per hour or x/45 miles per minute.
Learn more about the average speed here;
https://brainly.com/question/21118876
