Question

Plane B is flying 75mph faster than Plane A. Find the time it takes for Plane A to travel 750 miles if it takes Plane B the same amount of time to travel 900 miles.

Answer 1

2 hrs

Explanation:

The formula for speed is given as:

`v=(d)/(t)\\\\t=vd`

Let X be the speed of plane B. Given that the time to cover there respective distance is equal, we can equate as below:

`Time=(Distance )/(Speed)\\\\(750)/(x)=(900)/(x+75)\\\\750(x+75)=900x\\\\\\x=375\ mph`

Plane A's time is therefore calculated as:

`Time=(Distance)/(Speed)\\\\=(750)/(375)\\\\=2\ hrs`

Hence, it takes A 2 hrs to travel 750 miles.