What is the velocity of X relative to the river bed (Use a vector diagram)?

Velocity is 4 m/s (since it’s a 3, 4, 5 triangle)

(b) What is the time for X to travel from A to B to A?                                             

Time = distance ¸ speed = 400 m ¸ 4 s = 100 s

(c) What is the velocity of Y relative to the river bed going from A to C and the time?                               

Velocity =  5 m/s – 3 m/s = 2 m/s

Time = 200 m ¸ 2 m/s = 100 s

(d) What is the velocity of the boat Y going from C to A and its time?                    

Velocity = 5 m/s + 3 m/s = 8 m/s

Time = 200 m ¸ 8 m/s = 25 s

(e) Which boat wins and by how much?                                                                   

Boat X wins

By 25 s