A police jeep is chasing with, velocity of `45 km//h` a thief in another jeep moving with velocity `153 km//h`. Police fires a bullet with muzzle velocity of `180 m//s`. The velocity it will strike the car of the thief is.

Options

A. 150 m/s
B. 27 m/s
C. 450 m/s
D. 250 m/s

Answer

A

Explanation

Velocity of Police jeep `v_p = 45 xx 5/18 = 12.5 m//s`
Velocity of theif jeep `(v_t) = 153 xx 5/18 = 42.5m//s`
Velocity of bullet `v_b = 180m//s`
Velocity of bullet w.r.t. thief jeep
`v = (180 + 12.5) - 42.5`
` = 150 m//s`