Questions based on time lag and distance covered in SHM

Questions on SHM

Questions based on kinematics and concept of time lag

Problems based on time distance and speed

A boggy of uniformly moving train is suddenly detached from train and stops after covering some distance. The distance covered by the boggy and distance covered by the train in the same time has relation

A certain distance is covered at acertain speed. If half of this distance is covered in 4 times of the time,then find the ratio of the two speeds.

A certain distance is covered at a certain speed. If half of this distance is covered in triple the time, the ratio of the two speeds is

A certain distance is covered at a certain speed . If half of this distance is covered in double the time, the ratio of the two speeds is

A certain distance is covered at acertain speed. If half of the distance is covered in double time, the ratio of the two speeds is