Trying to force a result in the limited time available, India played a superb T20-style cricket to take a 52-run first-innings lead against Bangladesh in the second Test, contest in Kanpur on Monday.
India had six sessions to force a win, and the hosts did everything they could on the fourth day of the match.
After India's batting, star off-spinner Ravichandran Ashwin took two quick wickets to reduce Bangladesh to 26 for two in their second innings as India grabbed complete command of the rain-hit second Test at close on the fourth day here on Monday.
Jaiswal (71 off 52 balls) and Rahul (68 off 43 balls) helped India declare their first innings at 285 for nine for a lead of 52 runs. Virat Kohli made a fluent 47 off 35 balls.
The pitch hardly offered assistance to India bowlers but the hosts still bowled out Bangladesh for 233 in their first innings, built around Mominul Haque's patient unbeaten 107.
India then unleashed their batting might on the visitors, striking at 8.22 runs per over to reset the records for fastest team 50 (18 balls), 100 (74 balls) and 200 runs (24.2 overs) in Test cricket.
India declared their second innings at 285 for nine to have another go at the visiting batters.
At stumps, Bangladesh were 26 for two with Zakir Hasan and Hasan Mahmud becoming off-spinner Ravichandran Ashwin's victims. They were trailing India by 26 runs.
India is going for the kill as an outright victory will consolidate their top position in the World Test Championship (WTC) table.
Considering the tougher assignments ahead, especially the Australia Tour, India need to log as many wins as possible against comparatively easier rivals to get some cushion before the tough overseas rubbers.
Young opener Yashsvi Jaiswal (72 off 51 balls) set the tone with three boundaries in the opening over bowled by Hasan Mahmud and skipper Rohit Sharma (23 off 11) hit Khaled Ahmed for two consecutive sixes - one landing on the roof of the stadium.
It was clear that India was showing an urgency to surpass the Bangladesh total quickly after more than two day's play was lost to bad weather.
Adopting a see-the-ball and hit-the-ball approach, India completed the fastest team fifty in three overs.
Realising the ineffectiveness of his pacers, Bangladesh skipper Najmul Hossain Shanto introduced spinner Mehidy Hasan Miraz and he responded to the call by castling Rohit.
Jaiswal completed his fifty with a single off left-arm spinner Taijul Islam and continued in his aggressive fashion.
His innings, which contained 12 fours and two sixes, was cut short by Mahmud.
The young opener added 72 runs for the second wicket with Shubhman Gill (39).
Rishabh Pant did not last long but there was no change in approach for the hosts with Virat Kohli and KL Rahul building on the foundation with their swift 87-run stand for the fifth wicket.
In a breathtaking show, Indian batters hit 28 fours and 11 sixes, collecting 158 runs in boundaries.
In the process, Kohli became only the fourth player in history to complete 27,000 runs in international cricket across formats.
Ravindra Jadeja also cherished a rare double of 300 Test wickets and 3000 Test runs. He is the second quickest to complete the double behind England great Ian Botham.
He also became only the seventh Indian to take 300 Test wickets when he dismissed Khaled Mahmud.
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