Answer:
[tex]v_{bR} = 25 km/h[/tex] towards west
Explanation:
As we know that the speed of the blue car as appear to the bicycle rider is given as
[tex]v_{bc} = 50 km/h[/tex] towards west
also it is given that bicycle is moving at speed of 10 km/h towards East
so here we have
[tex]v_{bc} = v_b - v_c[/tex]
so we have
[tex]v_b = v_{bc} + v_c[/tex]
[tex]v_b = -50 + 10 = 40 km/h[/tex] towards west
now speed of the red car is given as 15 km/h towards west
so here the relative speed of blue car with respect to red car is given as
[tex]v_{bR} = v_b - v_R[/tex]
[tex]v_{bR} = 40 - 15 = 25 km/h[/tex] towards west