The population density of India is 1,000 p.s.mile, twice that of Pakistan, and of the USA 84 p.s. mile, for a young American woman it would seem very crowded. Travelling by any other means than 1st class will inevitably lead to much body contact. Whether actual assaults by 'groping' is getting worse I don't know, but when I first visited there I met a charming elderly, (or so she seemed to me at the time) Parisienne lady staying at my hotel in Delhi. She told me she had visited India many times during her life and would walk about at any time, day or night, and always felt much safer than she ever did in Paris.