Answer:
5 m/s west
Step-by-step explanation:
We have to find the velocity of cyclist 1 From the frame of reference of cyclist 2 . From the figure, both cyclists are moving in west direction. So, the velocity of cyclist 1 w.r.t cyclist 2 can be determined using the concept of relative velocity.

Putting v₁ = 8 m/s and v₂ = 3 m/s
So,
i.e. 5 m/s west
Hence, the correct option is (d) " 5 m/s west ".