A carrier pilgrim flew against the wind for 1 hour to deliver a message. It made the return trip with the same wind in 45 min. The trip was 6mi each way.

Question

Find the rate of the pigeon in still air and the the rate of the wind

Answer 1

6= (p+w)(3/4) = (p-w)(1)

3p/4 - 3w/4 = (3/4)6 = 9/2

3p/4 - 3w/4 = 6

6p/4 =6+9/2 = 21/2

p =(2/3)(21/2) = 7 mph for the pigeon in still air

w =p-6 = 1 mph wind speed