Apilot travel is the first 1500 miles of a 3000 mile journey with the average speed of 400 mph at what speed must a pilot travel the remaining 1500 miles to record an average speed of 500 mi./ hours for the entire flight

Speed at which remaining 1500 miles is covered is 666.67 mph.

Explanation:

Since we have given that

Total distance covered by a pilot = 3000 miles

Speed at which first 1500 miles is covered = 400 mph

Average speed to covered the whole distance = 500 mph

Let the speed at which remaining 1500 miles is covered be y

As we know the formula for "Average Speed" i.e.

Now, we put the value of speed in this equation,

Hence, Speed at which remaining 1500 miles is covered is 666.67 mph.

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8