1. In a 600 m race A beats B by 60 m and in a race of 500 m B beats C by 25 m. By how many metres will A beat C in a 400 m race.
2. In a 100 m race, A runs 2.5 m/sec. If A gives B a start of 10 m and still beats him by 5 sec. Find the speed of B.
3. A runs 100 m in 15 seconds and B runs the same distance in 20 seconds. By what distance will A beat b in 100 m race.
4. In a linear race of 1000m, A beats B by 50m or 5 sec. What is the difference between the speeds of A and B ?
5. In a 2100 m race A reaches finish point in 55 sec, while B reaches the finish point in 77 sec. By how much distance A beats B ?
6. In a race of 100 m, A beats B by 20 m and B beats C by 20 m. By how much distance does A beat C ?
7. In a 1800 m race A beats B by 300 m and B beats C by 1000 m. By how much distance does A beat C ?
8. In a 1200 m race, bike A beats bike B by 100 m. Bike B beats bike C by 100 m in a 600 m race. If bike A beats bike C by 30 sec in a 720 m race then what is the speed of bike C ?
9. In a linear race of 400 m, A can beat B by 100 m and in a race of 500 m, B cacn beat C by 100 m. By how much metres will A beat C in a race of 200 m ?
10. In a 150 m race, if A gets a 5 m headstart, then he would beat B by 35 m. If B gets a 25 m headstart in a 100 m race then who will win the race and by how many metres ?
11. In a race of 400m, A gave B a head start of 20m at the start of the race. B took 48 seconds to complete the race. What was the speed of A if B defeated A by a margin of 2 seconds ?
12. In a 1500 m race, if vehicle A gives vehicle B a start of 200m, then vehicle A wins the race by 8 sec. Alternatively if vehicle A gives vehicle B a start of 400 m , the race ends in a dead heat. How long does vehicle A takes to run 1500 m ?
13. A runs \(\frac{5}{2}\) times as fast as B. In a race, if A gives a lead of 40m to B, find the distance from the starting point where both of them will meet.
14. A can run 1.8 m in the same time that B runs 2 m. In a 3 km race, find by how much distance B beats A.
15. A and B run 1 km and A wins by 40 sec. A and C run 1 km and A wins by 200 metre. When B and C run the same distance B wins by 20 seconds. Find the time taken by A to run 1 km.
16. In a 100m race, A runs at 9 km/h. If A gives B a start of 10m and still beats him by 5 seconds, what is the speed of B ?
17. In a race of 1 km, A beats B by 200 m, while in another race of 2000 m, c beats D by 500 m. Speed of B is equal to that of D. If A & C participate in a race of 2880 m then by how much distance C will beat A.
18. In a race of 1 km, A beats B by 120 m or 15 sec. If hey start a race of 1 km simultaneously from the same point and if B gets injured afeter running 100 m less than half the race length and due to which his speed becomes \({\frac{3}{4}^{th}}\) of his original speed then by how much time A beats B ?
19. In a 500 m race A runs at a speed of 14.4 km/h. He gives a start of 20m to and still defeats him by 35 sec. What is the speed of B ?
20. A can run 112 m in 15 seconds and B in 21 seconds. How many metres start can A give to B in 1.4 km race so that the race end in a dead-heat.
21. A and B run a race of 2000m. First A gives B a start of 200m and beats him by 30 sec. Next, A gives B a start of 3 minutes and is beaten by 1000m. find the time in minutes in which A and B can run the race separately.
22. A and B run a race of 3 km. A gives B a heaed-start of 400m and beats him by 30 sec. While coming back, A gives B a leadw of 2.5 min and gets beaten by 500m. What is the difference between the times in minutes in which A and B can run the race for one side separately.
23. In a 150m race, A wins over B by 35m and in the same race C can give a start of 25m to B. By how much distance can A give a start to C, so that A beats C by 5m ?
24. In a 1000m race A gives B a start of 40m and beats him by 19 sec. If A gives a start of 30 sec then B beats A by 40 m. Find the ratio of speeds of A and B.
25. In a race of 100m A can give a start of 20m to B and a start of 40m to C. How much start can B give to C in a 100m race.
26. A can beat B in a 100 m race by 10 m. B can beat C in a 100 m race by 10 m. What is the ratio of time taken by A, B and C to complete the race.
27. In a game of 100 points, A can give B 10 points and C 20 points. Then how many points B can give to C ?
28. If the ratio of speed of A and B is 5 : 9 and A loses the race by 48 m, what is the length of race track ?
29. The ratio of time taken by A and B to run a certain distance is 2 : 3 and A wins by 100 m. Then find the length of the race track.
30. In a 480 m race, A gave B a head-start of 6 seconds and still won the race by 10 sec. The ratio of the speed of A & B are 3 : 1. How long will B take to cover a race of 1000 m ?
31. In a 1 km race, the speeds of A and B are in the ratio of 5 : 3 and A wins by 10 seconds. Find the time taken by B to finish the race and distance covered by B when A finishes the race.
32. A and B are running on a circular track in opposite direction from same time at same point with speed of 81 m/sec and 6 m/sec respectively. If the length of the circular track be 960 m, how many times distinct points they will meet.
33. A and B run a 12 km race on a circular track of length 1200 m. They complete one round in 300 sec and 400 sec respectively. After how much time from start will the faster person meet the slower person for the last time.
34. A and B run around a circular track of length 1100 m in opposite direction with initial speed of 6 m/sec and 4 m/sec respectively. Starting from the same point whenever they meet, A’s speed halves and B’s speed doubles. After how much time from the beginning will they meet for the second time ?
35. Three persons A, B and C run along a circular track at speed of 3 km/h, 4 km/h and 6 km/h respectively. If the length of the track is 36 km, then after how much time will they meet again at the starting point.