On a breezy day, Bonnie pedaled her human-powered aircraft 100 meters in 15 seconds going into the wind, and she made the return trip in 10 seconds with the wind. What were the speed of the wind and Bonnie's speed in still air? Use x for the speed of the airplane in still air and y for the speed of the wind.

a. Write one equation about Bonnie's initial flight
b.Write a second equation about Bonnie's return trip

Question

On a breezy day, Bonnie pedaled her human-powered aircraft 100 meters in 15 seconds going into the wind, and she made the return trip in 10 seconds with the wind. What were the speed of the wind and Bonnie's speed in still air? Use x for the speed of the airplane in still air and y for the speed of the wind.

a. Write one equation about Bonnie's initial flight
b.Write a second equation about Bonnie's return trip

anonymous · Answer

assuming the power supplied to the air craft by Bonnie remained constant, she would have gone 100 meters per 15 second into the wind (6.67m/s) and 100 meters per 10 seconds (10m/s) away from the wind.

a. x = 6.67m/s
b. x+y = 10m/s