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?

If they start moving towards each other simultaneously it will take 5 hours to meet.

Step-by-step explanation:

Motorcycle:

Distance = 540 miles

Speed = 48 mph

Time taken = Distance/Speed = 11.25 hours.

Car:

Distance = 540 miles

Time taken = 11.25 - 2.25 = 9 hours.

Speed = Distance/Time = 540/9 = 60 mph

If they start moving towards each other simultaneously, they will travel a combined distance of 540 miles and Let the time be t hours.

We have

48 t + 60 t = 540

108 t = 540

t = 540/108 = 5 hours.

If they start moving towards each other simultaneously it will take 5 hours to meet.