<h2>
Hello!</h2>
The answer is:
The average speed for the total trip is 753.19 mph.
<h2>
Why?</h2>
To calculate the average speed for the total trip, we need to calculate the time of travel for both distances according to their speeds.
So, calculating we have:
- First distance and speed: 3334 miles at 760 mph
Let's use the following formula:
![distance=speed*time\\\\time=\frac{distance}{speed}](https://tex.z-dn.net/?f=distance%3Dspeed%2Atime%5C%5C%5C%5Ctime%3D%5Cfrac%7Bdistance%7D%7Bspeed%7D)
Then, substituting we have:
![time=\frac{3334miles}{760mph=4.39hours}](https://tex.z-dn.net/?f=time%3D%5Cfrac%7B3334miles%7D%7B760mph%3D4.39hours%7D)
Therefore, we have that the first distance was covered in 4.39 hours.
- Second distance and speed: 2244.7 miles at 740mph
Let's use the following formula:
![distance=speed*time\\\\time=\frac{distance}{speed}](https://tex.z-dn.net/?f=distance%3Dspeed%2Atime%5C%5C%5C%5Ctime%3D%5Cfrac%7Bdistance%7D%7Bspeed%7D)
Then, substituting we have:
![time=\frac{2244.7miles}{740mph=3.03hours}](https://tex.z-dn.net/?f=time%3D%5Cfrac%7B2244.7miles%7D%7B740mph%3D3.03hours%7D)
Therefore, we have that the second distance was covered in 3.03 hours.
Now, calculating the average speed, we have:
![AverageSpeed=\frac{distance_{1}+distance_{2}}{t_{1}+t_{2}}](https://tex.z-dn.net/?f=AverageSpeed%3D%5Cfrac%7Bdistance_%7B1%7D%2Bdistance_%7B2%7D%7D%7Bt_%7B1%7D%2Bt_%7B2%7D%7D)
Substuting we have:
![AverageSpeed=\frac{3344miles+2244.7miles}{4.39hours+3.03hours}](https://tex.z-dn.net/?f=AverageSpeed%3D%5Cfrac%7B3344miles%2B2244.7miles%7D%7B4.39hours%2B3.03hours%7D)
![AverageSpeed=\frac{5588.7miles}{7.42hours}=753.19mph](https://tex.z-dn.net/?f=AverageSpeed%3D%5Cfrac%7B5588.7miles%7D%7B7.42hours%7D%3D753.19mph)
Hence, we have that the average speed for the total trip is 753.19 mph.
Have a nice day!