Answer:
The distance between two cities is 495 miles
Step-by-step explanation:
Given as :
The speed of plan flew between two cities = 330 mph
The speed of car traveling between two cities = 55 mph
Let the time taken by plan = T hours
So, The time taken by car = ( T + 7. 5 ) hours
Let the Distance between the cities = D miles
As, Distance = Speed × Time
So, Distance cover by plan = D = 330 mph × T h
And Distance cover by Car = D = 55 mph × ( T + 7.5 ) h
Or, 55 mph × ( T + 7.5 ) h = 330 mph × T h
Or, 55 T + 412.5 = 330 T
Or, 412.5 = 330 T - 55 T
Or, 412.5 = 275 T
∴ T = [tex]\frac{412.5}{275}[/tex] hours
Or , T = 1.5 hours
o, Distance = Speed × Time
Or , D = 330 mph × 1. 5 h
SO, D = 495 miles
Hence The distance between two cities is 495 miles Answer
