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?
Accepted Solution
A:
Answer:The distance between two cities is 495 milesStep-by-step explanation:Given as :The speed of plan flew between two cities = 330 mphThe speed of car traveling between two cities = 55 mphLet the time taken by plan = T hoursSo, The time taken by car = ( T + 7. 5 ) hours Let the Distance between the cities = D miles As, Distance = Speed × TimeSo, Distance cover by plan = D = 330 mph × T hAnd Distance cover by Car = D = 55 mph × ( T + 7.5 ) hOr, 55 mph × ( T + 7.5 ) h = 330 mph × T hOr, 55 T + 412.5 = 330 TOr, 412.5 = 330 T - 55 T Or, 412.5 = 275 T ∴ T = [tex]\frac{412.5}{275}[/tex] hoursOr , T = 1.5 hours o, Distance = Speed × Time Or , D = 330 mph × 1. 5 hSO, D = 495 milesHence The distance between two cities is 495 miles Answer