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Races & Circular Tracks — practice questions, page 8

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QuestionLap times of two skaters are 12 s and 20 s. Skating in opposite directions from the same mark, at…QuestionOver 1.2 km, Lakshya runs the first 600 m at 6 m/s and then slows to 4 m/s; Manav holds 5 m/s…QuestionOver 200 m, Aman beats Bharat by 10 seconds, and in another 200 m race Bharat beats Chetan by 20…QuestionTwo runners start from the same point of a 900 m track in opposite directions and first meet 300 m…QuestionOver 1 km, Ashwin beats Bhupen by 20 seconds. If Ashwin instead gives Bhupen a 100 m start, the…QuestionTwo runners start together and run in opposite directions round a 400 m track at 6 m/s and 10 m/s.…QuestionIn a 4 x 400 m relay, the first three runners of a college team average 8 m/s over their legs. At…QuestionAbhay's and Bablu's speeds are in the ratio 3 : 4, but Abhay gets a 140 m start in a 500 m race.…QuestionIn a 600 m race, Bhola sets off 12 seconds before Ankit. Ankit runs at 6 m/s and Bhola at 5 m/s.…QuestionAt billiards, Chandu can give Dilip 10 points in 50, and Dilip can give Eknath 10 points in 40.…QuestionOver 1 km, A beats B by 50 m and B beats C by 60 m. In a new 1 km race, A gives B a 20 m start and…QuestionHemant and Ishaan start together from a point of a 1 km track and run in opposite directions at 3…QuestionIn a game of 100, A can give B 20 points and B can give C 25 points. If A gives C 30 points in a…QuestionOn a 400 m track, Pawan and Qasim start together running the same way at 7 m/s and 5 m/s. 100…QuestionArnab sets off from P and Bijoy from Q, 1 km apart, running towards each other at 6 m/s and 4 m/s.…QuestionOn a 300 m track, Anil runs clockwise at 2 m/s, Babli anticlockwise at 3 m/s and Charu clockwise…QuestionIn a game of 100, Akash can give Bunty 10 points and Chotu 20 points. In a game of 90, Bunty gives…QuestionIn a single 1 km race, Aditya beats Bhavesh by 100 m, and when Bhavesh crosses the line Chandan is…QuestionTwo runners with speeds in the ratio 2 : 3 start together and run in opposite directions round a…QuestionRafi and Zoya cycle the same way round a track at 13 km/h and 9 km/h from the same point. Rafi has…QuestionOver 1 km, Amar finishes 30 seconds ahead of Basant. If Amar ran 25% faster, he would finish 70…QuestionTwo cyclists start together and ride the same way round a 1.2 km track at 18 km/h and 27 km/h.…QuestionA 1 km race is run on a 400 m track. Ashok and Bhim start together with speeds in the ratio 5 : 3.…QuestionOn a 600 m track, Arjun runs clockwise at 4 m/s from the start, while Chitra starts from the…QuestionIn a 1 km race between Esha and Farha, Esha wins by 40 m. In a 1 km race between Farha and Gita,…

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