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

Answer:

2 hrs

Step-by-step explanation:

The formula for speed is given as:

$v=\frac{d}{t}\\\\t=vd$

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

$Time=\frac{Distance }{Speed}\\\\\frac{750}{x}=\frac{900}{x+75}\\\\750(x+75)=900x\\\\\\x=375\ mph$

Plane A's time is therefore calculated as:

$Time=\frac{Distance}{Speed}\\\\=\frac{750}{375}\\\\=2\ hrs$

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