MathDB

From the two cities of Dobruisk and Bodruisk, the distance between which is

40

km, two cyclists Dobi and Bodi simultaneously rode towards each other. Dobie was traveling at

23

km/h and Bodie was traveling at

17

km/h. Before departure, a fly landed on Dobie’s nose, which, at the moment of his departure from the city, flew towards Bodruisk at a speed of

40

km/h. The fly met Bodie, immediately turned back and flew towards Dobruisk at a speed of

30

km/h. (The fact is that the wind was blowing from Dobruisk to Bodruisk.) Having met Doby, the fly turned back again, etc. Determine the total path that the fly flew until the moment the cyclists met. (The speed of the fly in each direction did not change.)

Problem Statement