Question

The distance between the cities Atlanta and Indianapolis is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 hours less to cover same distance than for the motorcycle. How long does it take them to meet, if they start moving towards each other simultaneously?

Answer 1

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.