as per the question charlie runs to the store which is 4 km away
hence the total distance covered [S] is 4 km
he takes 30 minutes to reach the store.
hence the total time taken [t] = 30 minutes=0.5 hour
We have to calculate the average speed.
the average speed[v]= [tex]=\frac{S}{t}[/tex]
=[tex]\frac{4 km}{0.5 hour}[/tex]
=8 km/hour
then we have to calculate the total distance traveled by charlie in 1 hour.
the distance covered S= [tex]V_{avg} *t[/tex]
=8 km/hour ×1 hour
=8 km
Hence the average speed of charlie is 8 km/hour and he covers a distance of 8 km in 1 hour.
Taking into account the definition of speed:
a. The average speed of Charlie is 8 [tex]\frac{km}{h}[/tex].
b. The distance that Charlie runs if he maintains this average speed for 1 hour is 8 km.
In first place, you have to know that speed is the magnitude that relates the change in position with time, that is, it expresses the relationship between the space traveled by an object and the time used for it.
In other words, speed can be defined as the amount of space traveled per unit of time with which a body moves and can be calculated as the quotient between the space traveled between the final and initial position and the elapsed time:
[tex]speed=\frac{distance traveled}{time}[/tex]
a. In this case, you know that:
Replacing these values in the speed definition:
[tex]speed= \frac{4 km}{0.5 h}[/tex]
Solving:
speed= 8 [tex]\frac{km}{h}[/tex]
Finally, the average speed of Charlie is 8 [tex]\frac{km}{h}[/tex].
b. Now, in this case, you know that:
Replacing in the definition of speed:
[tex]8 \frac{km}{h} =\frac{distance traveled}{1 h}[/tex]
Solving:
distance traveled= 8 [tex]\frac{km}{h}[/tex] ×1 h
distance traveled= 8 km
In summary, the distance that Charlie runs if he maintains this average speed for 1 hour is 8 km.
Learn more about average speed:
