SOLUTION: A train moves at a constant speed of 60 km/hr toward a station 30 km away. At the moment, Fanny Fastbird leaves her perch on the locomotive and flies toward the station at a consta

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Question 773027: A train moves at a constant speed of 60 km/hr toward a station 30 km away. At the moment, Fanny Fastbird leaves her perch on the locomotive and flies toward the station at a constant speed of 100 km/hr relative to the ground. When the bird reaches the station, she immediately turns around and flies back to the station, repeating the process until the train passes the station. What total distance is traveled by the bird?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
The bird flies at 100 km/hr until the train reaches the station.
(The fact that she flies back and forth does not matter. All that matters
is how long she flew.) 

Since time = distance%2Frate, the train will reach the station in 30km%2F%2860km%2Fhr%29 or 1%2F2 an hour.

So the bird flies 100 km/hr for half an hour.  Since distance = rate×time,
her total distance flying in that half an hour at 100 km/hr is 

100km%2Fhr×1%2F2hr = 50 km.

Edwin