the metro rail starts to move towards left and hence 3 ladies start to move along with the metro rail .who is applying force on them

Dear Student,
The frictional force between feet of the ladies and the surface of metro is responsible for keeping them in motion along with metro.
This frictional force prevents any relative motion between the passengers and the metro.
If there were no frictional force (Imagine the ground surface of the metro as smooth as ice), then metro would go forward but the passengers would remain in their position with respect to ground.

Regards,

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