Answer:
170 mph
Step-by-step explanation:
Let x mph be the plane's speed.
If the car travels 110 mph slower than the plane, then the car's speed is x - 110 mph.
Plane:
Speed = x mph
Distance = 1,020 miles
Time = t hours
[tex]1,020=x\cdot t\Rightarrow t=\dfrac{1,020}{x}[/tex]
Car:
Speed = x - 110 mph
Distance = 360 miles
Time = t hours
[tex]360=(x-110)t\Rightarrow t=\dfrac{360}{x-110}[/tex]
A plane can fly 1020 miles in the same time as it takes a car to go 360 miles, so
[tex]\dfrac{1,020}{x}=\dfrac{360}{x-110}[/tex]
Cross multiply:
[tex]1,020(x-110)=360x\\ \\102(x-110)=36x\\ \\102x-11,220=36x\\ \\102x-36x=11,220\\ \\66x=11,220\\ \\x=170[/tex]
