NEW DELHI — A woman was crushed to death after a conductor pushed her off a moving train for boarding the wrong coach early Thursday in western India, police said.

The woman’s two children boarded the air-conditioned coach, then the conductor told the woman her tickets entitled them to travel only in a cheaper coach, Officer Hemraj Ambekar said.

Her nephew, who had come to see her off from the station, said that when she was pushed, she lost her balance and slipped into the gap between the coach and platform and was run over by the train.

Ambekar said police have arrested the conductor and were questioning him and other witnesses.

It happened in Jalgaon, a small town east of Mumbai, India’s financial hub.