Two bicyclists begin to travel clockwise on a circular path of diameter D = 150.00 m with the constant speeds vA = 12.00 m/s and vB = 8.00 m/s, respectively, from two points diametrically opposed. A pigeon released from the starting point of cyclist B flies directly toward cyclist A at a constant speed vP = 18.00 m/s. Upon reaching him, the pigeon returns instantly towards cyclist B flying with the same speed until it reaches his location at that time, and then it turns again towards cyclist A, and so on until the two bicyclists meet. What is the total distance travelled by the pigeon?

Question

caozeyuan · Answer

@Loser66 @ganeshie8

mrnood · Answer

Wow!

Looks tricky to me...

'Directly towards' seems to imply the pigeon flys across the circle. This makes things hard..

IF it means flys towards him around the track it is a little easier:

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