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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?

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Blacklash

Answer:

 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.

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