Answer :
The average speed for the entire trip is approximately 47.23 miles/hour.
To find the average speed for the entire trip in mph, you can use the formula:
average speed = total distance ÷ total time taken
We are given that:
Distance covered in the first part of the trip (d₁) = 5.10 miles
Speed in the first part of the trip (s₁) = 35.5 miles/hour
Distance covered in the second part of the trip (d₂) = 9.5 miles
Speed in the second part of the trip (s₂) = 57.5 miles/hour
Total distance covered (d) = d₁ + d₂ = 5.10 + 9.5 = 14.6 miles
Average speed = total distance ÷ total time taken
To find the total time taken, we need to divide each distance by its respective speed and then add up the times taken in both parts of the trip.
Time taken in first part of the trip = distance ÷ speed
= d₁/s₁
= 5.10/35.5 hours
Time taken in the second part of the trip = distance ÷ speed
= d₂/s₂
= 9.5/57.5 hours
total time taken = time taken in first part of the trip + time taken in the second part of the trip
= 5.10/35.5 + 9.5/57.5 hours
= 0.144 + 0.165 hours
= 0.309 hours
Now, we can calculate the average speed as:
average speed = total distance ÷ total time taken
= 14.6 miles ÷ 0.309 hours≈ 47.23 miles/hour
Therefore, the average speed for the entire trip is approximately 47.23 miles/hour.
To know more about average speed visit:
https://brainly.com/question/17277454
#SPJ11
