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Races & Circular Tracks — practice questions, page 2

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In billiards, A can give B 15 points in 60 and can give C 20 points in 60. How many points can B…A runs 13/4 times as fast as B. If A gives B a start of 84 m, how far must the winning post be so…In a 100 m race B is given a 4 second head start. A runs at 10 m/s and B at 8 m/s. What is the…In a 1.2 km race the speeds of A and B are in the ratio 4 : 3, and A wins by 30 seconds. What is…In a 1 km race, A beats B by 60 m and B beats C by 50 m. By how many metres does A beat C?In a 50 m pool, two swimmers start at the same moment from opposite ends at 1.5 m/s and 1 m/s,…On a 400 m track, A and B run the same way at 6 m/s and 4 m/s, while C runs the other way at 2…Three runners start together on a 1.2 km circular track and run the same way at 2 m/s, 4 m/s and…Two friends start from the same point of a 500 m circular track and walk in opposite directions at…Two cyclists ride the same way round a 900 m circular track at 6 m/s and 9 m/s, starting together.…Rahul beats Mohan by 50 m in a 1 km race. Rahul's finishing time is 190 s. How long does Mohan…In a 400 m race A beats B by 16 seconds. B runs at 5 m/s. What is A's time for the race?Gaurav can run 300 m in 45 s and Sameer can run it in 50 s. By how many metres does Gaurav beat…In a 100 m dash A beats B by 5 m, or equivalently by 1 second. What is A's time?Two athletes take 36 s and 48 s per lap of a circular track. They start together from the starting…Ramesh runs 1 km in 4 minutes and Suresh runs it in 5 minutes. How much start can Ramesh give…In a 500 m race, A beats B by 50 m, and in another 500 m race B beats C by 40 m. By how many…In a 1 km race A beats B by 100 m or by 25 seconds. What is A's speed in km/h?On a 250 m circular track, A and B run in opposite directions at 3 m/s and 2 m/s for 10 minutes.…Two runners leave the same point of a 400 m track together and run the same way at 7 m/s and 5…Gopal cycles at 18 km/h and Raju walks at 6 km/h in opposite directions round a 1200 m circular…In a 400 m race, A can give B a start of 40 m and C a start of 64 m. How much start can B give C…A runs at 18 km/h. In a 100 m race he gives B a start of 4 m and still beats him by 4 seconds.…In a 300 m race, A gives B a start of 30 m and C a start of 57 m, and all three finish together.…Ali runs at 15 km/h and Balu at 12 km/h. In a 2 km race, Ali lets Balu set off 2 minutes before…

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