Question

A plane flew between two cities at 330 mi/hr; a car went the same distance at 55 mi/hr. If the car took 7.5 hr longer, how far apart are the cities?

Answer 1

The distance between two cities is 495 miles

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 =
`(412.5)/(275)` 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