Given:
A plane can fly 1200 miles in the same time as it takes a car to go 320 miles. The car travels 110 mph slower than the plane.
We need to determine the speed of the plane.
Speed of the plane:
Let the speed of the plane be x.
Equating the time taken by the plane and the time taken by the car using the formula,
[tex]Time=\frac{Distance}{Speed}[/tex]
Thus, we have;
[tex]\frac{1200}{x}=\frac{320}{x-110}[/tex]
Cross multiplying, we get;
[tex]1200(x-110)=320x[/tex]
Simplifying, we get;
[tex]1200x-132000=320x[/tex]
[tex]880x=132000[/tex]
[tex]x=150[/tex]
Thus, the value of the speed of the plane is 150 mph
