Answer:
The average speed of the car during this time is 59.16 mile/hr.
Explanation:
Average speed : It is defined as the ratio total distance to total time.
Formula used :
[tex]\text{Average speed}=\frac{\text{Total distance}}{\text{Total time}}[/tex]
As per question,
Distance traveled by car in 2 hours = d = 130 miles
Time taken by the car = t = 2 hours
Duration of time when car was not moving = t' = 0.5 hour
Distance traveled by car in 3.5 hours = d' = 225 miles
Time taken by the car = t'' = 3.5 hours
Now put all the given values in the above formula, we get:
[tex]\text{Average speed}=\frac{\text{Total distance}}{\text{Total time}}[/tex]
[tex]\text{Average speed}=\frac{d+d]}{t+t'+t''}=\frac{130 mile+225 miles}{2 hr+0.5 hr+3.5 hr}[/tex]
[tex]=\frac{355 mile}{6 hr}=59.16 mile/hr[/tex]
Therefore, the average speed of the car during this time is 59.16 mile/hr.
