Question

An airplane flies 3344 miles with a constant speed of 760 mph and another 2244.7 miles with a constant speed of 740 mph. What is it’s average speed for the total trip?

Answer 1

Hello!

The answer is:

The average speed for the total trip is 753.19 mph.

Why?

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=(distance)/(speed)`

Then, substituting we have:

`time=(3334miles)/(760mph=4.39hours)`

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=(distance)/(speed)`

Then, substituting we have:

`time=(2244.7miles)/(740mph=3.03hours)`

Therefore, we have that the second distance was covered in 3.03 hours.

Now, calculating the average speed, we have:

`AverageSpeed=(distance_(1)+distance_(2))/(t_(1)+t_(2))`

Substuting we have:

`AverageSpeed=(3344miles+2244.7miles)/(4.39hours+3.03hours)`

`AverageSpeed=(5588.7miles)/(7.42hours)=753.19mph`

Hence, we have that the average speed for the total trip is 753.19 mph.

Have a nice day!