Answer:
5 hours after they start.
Step-by-step explanation:
The distance between the cities Atlanta and Indianapolis is 540 miles.
If a motorcycle's speed is 48 mph, then time taken by motorcycle = Distance / Speed = 540 miles / 48 mph = 11.25 hours.
For a car it takes 2.25 hours less to cover same distance than for the motorcycle. Then time taken by car = 11.25 - 2.25 = 9 hours.
Speed of car = Distance / Time = 540 miles / 9 hours = 60 mph.
If they start moving towards each other simultaneously, then the time when they meet = Distance / (sum of speeds) = 540 miles / (60+48) mph = 540 miles / 108 mph = 5 hours.
Hence, it takes them 5 hours to meet after they start moving towards each other simultaneously.
