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.

Question

asked Jan 24, 2021 213k views

1 Answer

Adubr · Answer 1 · 2021-01-29T14:34:11+0000

Answer:

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.