Respuesta :
Answer: 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.
[tex]\text{ Average Speed}=\frac{2xy}{x+y}[/tex]
Now, we put the value of speed in this equation,
[tex]500=\frac{2\times 400\times y}{400+y}\\\\500(400+y)=800y\\\\200000+500+500y=800y\\\\200000=800y-500y\\\\200000=300y\\\\y=\frac{200000}{300}=666.67\ mph[/tex]
Hence, Speed at which remaining 1500 miles is covered is 666.67 mph.
