Question

A pilot 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

Answer 1

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

Step-by-step 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.

`\text{ Average Speed}=(2xy)/(x+y)`

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

`500=(2* 400* y)/(400+y)\\\\500(400+y)=800y\\\\200000+500+500y=800y\\\\200000=800y-500y\\\\200000=300y\\\\y=(200000)/(300)=666.67\ mph`

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