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.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! 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
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