In the men's junior time trial event, Rohit finished 11th as he clocked 39 minutes 37.308 secs to complete the 28.2 km race at the Buddha International Circuit.
Sunita Devi finished 12th in Women's Individual Time Trial event with a timing of 42 mins 36.593 secs.
Kazakhstan rider Dmitry Rive clinched the opening medal of road events as he finished the 17-cyclist time trial race in 36 mins 12.318 secs while Masaki Yamamoto (36 mins 24.222) of Japan bagged the silver. The bronze medal went to Iran's Mahdi Ebadallahirafsanjani (37 mins 28.706 secs).
"I raced together with the group up to the 15-km point before breaking for a marginal lead up to the 22-km mark. In the last three kilometres I sprinted to make it to the finishing point," Enkhjargal said.
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Pakistan's Sabiha Bibi, who arrived in New Delhi last night, finished 18th with a timing of 48 mins 51.655 secs.
Another Indian Geeturaj, who was competing in her maiden international event, finished ninth in women junior time trial in 22 mins 01.281 secs, her personal best effort.
The race was won by Yao Pang of Hong Kong, who had won three gold in track races, in 19 mins 54.693 secs in the 14.2 km race. Kazakhstan's Yekaterina Yuraitis (20 mins 36.061 secs) won silver while the bronze went to Razan Soboh (20 mins 40.630 secs) of Jordan.