Answer: 42.78 miles per hour.
Step-by-step explanation:
Given: For first day,
Distance [tex]d_1=500[/tex] miles
Time [tex]t_1=10[/tex] hours
For next day
Distance [tex]d_2=270[/tex] miles
Time [tex]t_2=8[/tex] hours
For both days,
Total distance = [tex]d_1+d_2=500+270=770[/tex] miles
Total time taken =[tex]t_1+t_2= 10+8=18 [/tex]hours
Now, the average speed for both days, while driving will be
[tex]\text{Average speed}=\frac{\text{Total distance}}{\text{Total time}}\\\\=\frac{770}{18}=42.7777777778\approx42.78[/tex]
Hence, the average speed for both days, while driving = 42.78 miles per hour.
