Chandrabhan Sanap, a history-shetter and the lone accused arrested early this week, was asked to enact the chain of events from the early hours of January 5, when he spotted Anuhya at Kurla terminus station where she had arrived by train from her hometown.
He then took her on a bike on the pretext of dropping her at hostel in suburban Andheri.
"Sanap was made to demonstrate how he rode the victim from Kurla to the spot off the Eastern Express Highway (where she was murdered) on the bike, how he carried her luggage on the two-wheeler and executed the murder," said Sadanand Date, Joint Commissioner of Police (Crime).
Date said concerted efforts were being made to recover the victim's laptop, which the accused threw in a creek from a moving train between Tilwala and Khadawali stations.
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Anuhya's cloths and spectacles were recovered from a premises belonging to the accused's sister and a DNA examination would be done on them.
Police are baffled as to why she didn't ring up either her friends or family members before sitting on his bike.
Date said they have identified witnesses, who had seen the victim along with the accused at the railway station.
"Papers have been submitted to the Government seeking appointment of a special public prosecutor for the case."