Answer:
The driver should travel at a Speed of 50 mph so that the average speed of the entire trip is 45 mph
Step-by-step explanation:
Given:
Total distance=100 mi
Speed at which the driver travels the first 50 mi= 40 mph
To Find:
Speed at which the driver should travel so that the average speed of the entire trip is 45 mph=?
Solution:
Average speed:
The average speed of an object is the total distance travelled by the object divided by the elapsed time to cover that distance. It's a scalar quantity which means it is defined only by magnitude. A related concept, average velocity, is a vector quantity. A vector quantity is defined by magnitude and direction.
Let X be the distance at which driver should travel so that the average speed of the entire trip is 45 mph
From The given data we get,
[tex]\frac{40+X}{2}=45[/tex]
[tex]40 +X=45\times2[/tex]
[tex]40+X=90[/tex]
[tex]X=90-40[/tex]
X=50
