manoj,the gaurd stationed in the last compartment of a train,owned one pigeon.one day,while train was in motion,he wanted to send a message to the motorman ramesh sitting in the drivers seat.the train is 100 meters long and running at a speed of 60km/hr.the pigeon delivered the message to ramesh and returned to manoj.during this time the train had travelled 100 meters.what is the distance travelled by the pigeon(in meters) during the entire journey??what is the speed of the pigeon in m/s ?

1) 100(1+ rt2), 40
2) 100,20
3) 100(3+rt2),144
4) 100rt2,72

• speed of train = 60*5/18mps = 50/3 mps
  train covers 100m during journey of pigeon.
  time taken =100*3/50 = 6 s
  
  in 6 seconds pigeon delivers the letter and flies back so,
  total time taken =
  100/(p-50/3) + 100/(p+50/3) = 6
  18p^2 - 600p -5000=0
  9p^2 -300p-2500=0
  
  p = 50/3(1+root(2)) = 40 (approx)
  
  total distance travelled by the pigeon= 50/3(1+root(2))*6= 100(1+root(2))
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