In question number 85, what is the relative velocity of a car A with respect to car B, if car is moving eastward and car B is moving toward westward?

Options

A. `15 km h^(-1)`
B. `45 km h^(-1)`
C. `60 km h^(-1)`
D. `105 km h^(-1)`

Answer

D

Explanation

Velocity of car A w.r.t ground `therefore v_AG = 60 km h^(-1)`
Velocity of car B w.r.t ground `therefore v_BG = -45 km h^(-1)`
Relative velocity of car A w.r.t car B is
`v_AB = v_AG + v_GB = v_AG - v_BG = 105 km h^(-1)` (since `v_GB = -v_BG)`