Train A is heading north to south at a speed of 40 miles per hour. Train B is heading south to north at a speed of 50 miles per hour. A and B are traveling toward each other on neighboring tracks and the distance between them is 180 miles and there are no stations between them. A bird is flying back and forth between them at a speed of 55 miles per hour. The bird will keep flying until the trains cross each other. What is the distance traveled by the bird before the crossing happens?

• A's speed = 40 miles/hr
  B's Speed = 50 miles/hr
  Time taken for the trains to cross each other => t = 180/(40+50)
  t = 2 hrs
  
  Bird's speed = 55 miles/hr
  In 1 hr --> bird ll cover 55 miles
  In 2 hrs --> x miles
  x = 2*55
  x = 110 miles
  
  So distance traveled by the Bird = 110 miles
  
  Ans : 110 miles
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