Posted by **Serena** on Thursday, August 28, 2014 at 11:13pm.

A.) A runner is jogging at a steady 6.7 km/hr. When the runner is 3 km from the finish line, a bird begins flying from the runner to the finish line at 20.1 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.How far does 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.

Answer in units of km

B.) 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 does the bird travel from the be- ginning (including the distance traveled to the first encounter)?

Answer in units of km