A runner is jogging at a steady 1 km/hr.
When the runner is 0.88 km from the finish
line a bird begins flying from the runner to
the finish line at 3 km/hr (3 times as fast
as the runner). When the bird reaches the
finish line, it turns around and flies back to
the runner. After this first encounter, the bird
then turns around and flies from the runner
back to the finish line, turns around again and
flies back to the runner. The bird repeats the
back and forth trips until the runner reaches
the finish line.
How far did the bird travel? Even though
the bird is a dodo, assume that it occupies
only one point in space (a “zero” length bird)
and that it can turn without loss of speed.
Possible answers:
1. 1.50 km ≤ db < 1.75 km 2. 2.75 km ≤ db < 3.00 km 3. 5.00 km ≤ db ≤ ∞ km 4. 3.00 km ≤ db < 5.00 km 5. 2.25 km ≤ db < 2.50 km 6. 1.75 km ≤ db < 2.00 km 7. 1.40 km ≤ db < 1.50 km 8. 1.30 km ≤ db < 1.40 km 9. 2.00 km ≤ db < 2.25 km 10. 2.50 km ≤ db < 2.75 km
bird flying time ... 0.88 km / 1 km/h
bird distance = flying time * rate