If the duck takes 40 days to fly to the south during winter and twice as much time to fly to the north during summer, it takes 40*2= <<40*2=80>>80 days to travel to the north.
The total time it takes to travel to the south and the north during both seasons is 80+40 = <<80+40=120>>120 days.
The duck also takes 60 days to travel to the East during spring, making the total time it travels during all the seasons to be 120+60 = <<120+60=180>>180
#### 180