Rahane (108*) carved out his seventh Test hundred to strengthen India's hold on the game as the visitors declared their innings at 500 for nine in response to West Indies' 196.
Rahane's gritty century was followed by the declaration in the post lunch session but intermittent rain ensured not a single ball was bowled for the remainder of the day.
Early tea was called after a second rain interruption. Post lunch, Amit Mishra (21) had joined Rahane and the leg spinner looked for some quick runs, smacking Devendra Bishoo (1-107) for six. The pacers were brought on almost immediately to block any plans of quick scoring on part of the batsmen. Even so, the 450-mark came up in the 161st over, as also the 250-lead. Thereafter, rain came down, as the threat of tropical storm Earl still looms large on the match.
The session had been extended, as Kraigg Brathwaite (0-40) came on to bowl, and both Rahane and Yadav went in for quick runs. In doing so, the Indian vice-captain completed his hundred off 231 balls. The latter though was out, hitting the ball high in the air and was caught at short midwicket, as Chase completed his maiden five-wicket haul in Test cricket.
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In the morning, the hosts had come out firing on the morning of day three, as Jason Holder (1-72) troubled both Rahane and Wriddhiman Saha (47).
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Shanon Gabriel (1-62) and Miguel Cummins (0-87) bowled well in the first hour of play, as the West Indies continued their ploy of bowling tight and not giving away easy runs to the batsmen. Only 34 runs came in the first hour of the morning, and thereafter Bishoo and Holder came on to bowl. That is when Rahane's troubles started as the skipper mixed his incoming and out-swinging deliveries well, and troubled the set batsman.
The 400-mark had come up for India in the 141st over, as well as the lead crossed the 200-mark. However, the effects could be seen at the other end too, as the run scoring was tightened up further and Saha was in some trouble too. Holder then finally got some reward for bowling tight, as he trapped the keeper-batsman LBW just before lunch, a first wicket in this series. Saha was dismissed just short of his fifty, as their 98-run stand was finally broken.
overs summed up how pacer-friendly the relaid Eden wicket was as it had variable bounce and carry.
In reply, it was another top-order collapse barring Kohli who hit seven delightful boundaries and shared 48 runs with Rohit which took India's lead past 200.
There were about 25,000 spectators in the stands, the best in the ongoing Test, who did not mind the extreme heat and humidity. Kohli gave them lots to cheer for by effortlessly guiding the ball away in his solid knock.
Kohli had a close shave when he was yet to open his account. The Indian skipper was hit on his front pad but replays showed the ball was going down the leg and fortunately for Kohli the umpire ruled out the loud appeals.
Cheteshwar Pujara (4), Shikhar Dhawan (17) got out LBW while Ajinkya Rahane (1) also could not click, mistiming the shot while trying to pull Henry.
Dhawan had an anxious stay at the crease and was hit twice on his thumb by Boult's rising deliveries.
India lead the three-match series 1-0 after their 197-run win in the Kanpur Test.