Question 774000
The distance between Station A and Station B is 30 miles.
 A truck starts from A towards B. A bird starts at the same time from B straight towards the moving truck.
 On reaching the truck, it instantaneously turns back and returns to B.
 The bird makes these journeys from B to the truck and back to B continuously till the truck reaches B.
 The bird finally returns to B and rests.
 Calculate the total distance in miles the bird travels if:
The bird flies at 20 miles per hour and the speed of the truck is 30 miles per hour.
:
The bird flies slower than the speed of the truck. When it flies from B to the
truck, it falls behind the truck, it never again lands on the truck, therefore:
let t = travel time for the bird and the truck to meet
30t + 20t = 30
50t = 30
t = 30/50
t = .6 hrs
the birds travels .6(20) = 12 miles
return to B is 12 miles so the bird travels 24 miles, the truck is long gone