A lanky Ramkumar cruised to a 7-5 6-1 6-0 win over the Kiwi opponent in exactly two hours in windy conditions at the Shiv Chatrapati Sports Complex in Balewadi.
Ramkumar, who had won his singles rubber on day one against Jose Statham in straight sets in very impressive fashion, clinched a closely fought 51-minute first set.
Tearney's game went to pieces thereafter as his rival seized on the opportunities and ran away with the second and third sets with two and three breaks of serve each to propel India into the second round for a meeting with Uzbekistan from April 7-9.
India had taken a 2-0 lead on the first day when Yuki Bhambri and Ramkumar clinched their singles rubbers against Tearney and Statham respectively.
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New Zealand clinched the doubles rubber yesterday when Artem Sitak and Michael Venus got the better of Indian veteran Leander Paes and Vishnu Vardhan.
Ramkumar's victory in the first reverse singles to provide the hosts with an unassailable lead has rendered fifth rubber between Bhambri and Statham inconsequential.
The 22-year-old Chennai-born 276-ranked Ramkumar fired 12 aces but also committed nine double faults as compared to Tearney's 16.
The 6-foot-2-inch tall Indian youngster also had to dig himself out of the hole in two service games in which he faced break points. He saved three in the fifth game in which he committed the first of his two double-faults with the help of his strong first serve clocked at over 200 kmph.
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The Kiwi kept the Indian guessing on his serve by alternating between following it to the net and staying behind, but did not have the consistency or power in his serves to take full advantage of this hustling tactic.
Ramkumar, in spite of committing five double faults including three in the third game which he held after saving a break point, raced away with the second set by breaking his error-filled rival's serve twice - in the fourth and sixth games.
In fact the Chennai-born player was lucky that his rival could not convert his mistakes into an advantageous position.
The plethora of double faults cost the Kiwi his next service game as the Indian took a commanding 5-1 lead and then served out the set in style by acing his rival on the last two points. The second set lasted just 31 minutes.
In fact so dominant was the Indian that he came up with some excellent lobs too in the end in the fifth game which the Kiwi lost after five deuces.
Serving for the match and the tie, Ramkumar pounded his serves in with power and put in his last ace to go 40-0 up before winning the match when his rival hit a backhand over the baseline to usher in celebrations in the Indian camp supported by a vociferous crowd.