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 `=45km//h`
`=45xx5/18=25/2 m//s`
Velocity of thief jeep `=153 km//h`
`=153xx5/18=85/2 m//s`
Velocity of bullet w.r.t. police jeep `=180 m//s`
Velocity of bullet w.r.t. police car = `180+25/2`
Velocity of bullet w.r.t. thief jeep `=180+25/2-85/2`
`=150 m//s`