Answer:
Average speed of John for the entire trip = 49.54 mph.
Explanation:
Given:
Distance traveled by John [tex](d_1)[/tex] = 300 miles
Speed during this journey [tex](s_1)[/tex] = 45 mph
Time taken [tex](t_1)[/tex] to cover 300 miles = Distance traveled divide by the speed.
So,
Time taken in hours.
⇒ [tex]t_1=\frac{d_1}{s_1}[/tex]
⇒ [tex]t_1=\frac{300}{45} = 6.66[/tex] hours
Similarly
Time taken to cover 300 miles at the rate of 55 mph is [tex](t_2)[/tex] .
⇒ [tex]t_2=\frac{300}{55} = 5.45[/tex] hours
Total time taken by John to travel 600 miles = [tex](t_1+t_2)[/tex] hours.
= [tex](5.45+6.66)[/tex] hours
= [tex]12.11[/tex] hours
Average speed = Total distance covered divided by total time taken.
Then,
Average speed = [tex]\frac{600}{12.11}[/tex] = [tex]49.54[/tex] miles per hour.
Average speed of John for the entire trip = 49.54 mph.
