The distance between Station Atena and Station Barcena is 84 miles. A train starts from Atena towards Barcena. A bird starts at the same time from Barcena straight towards the moving train. On reaching the train, it instantaneously turns back and returns to Barcena. The bird makes these journeys from Barcena to the train and back to Barcena continuously till the train reaches Barcena. The bird finally returns to Barcena and rests. Calculate the total distance in miles the bird travels, given that the speed of the train and the bird are 80 miles/hr and 60 miles/hr respectively.
A. 68 miles
B. 75 miles
C. 78 miles
D. 72 miles
E. 84 miles

• In 36 minutes, the bird travels 36 miles, the train travels 54 miles, and the two meet.
  Now, the train (which is traveling at a speed greater than that of the bird) will reach Barcena before the bird.
  So, the bird simply returns to Barcena (a return journey of 36 miles).
  Thus, the total distance traveled by the bird is 72 miles.
• 10 years agoHelpfull: Yes(0) No(0)