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- Question
In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:
Options- A. 21 m
- B. 26 m
- C. 28m
- D. 29m
- Correct Answer
- 28m
ExplanationA : B = 100 : 75
B : C = 100 : 96.
A : C = (A/B*B/C) = (100/75*100/96) = 100/72 =100:72
A beats C by (100 - 72) m = 28 m.
- 1. In a race of 1000 meters, A can beat B by 100 meters, in a race of 800 meters, B can beat C by 100 meters. By how many meters will A beat C in a race of 600 meters?
Options- A. 125.5 meters
- B. 126.5 meters
- C. 127.5 meters
- D. 128.5 meters Discuss
- 2. In a game of 100 points, A can give B 20 points and C 28 points. Then, B can give C is
Options- A. 8 points
- B. 10 points
- C. 14 points
- D. 40 points Discuss
- 3. In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by
Options- A. 21 m
- B. 26 m
- C. 28m
- D. 29m Discuss
- 4. In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:
Options- A. 22.75 m
- B. 25 m
- C. 19.5 m
- D. 18.5 m Discuss
- 5. A runs 123 times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?
Options- A. 200 m
- B. 300m
- C. 270m
- D. 160m Discuss
- 6. In a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C
Options- A. 18 m
- B. 20 m
- C. 27 m
- D. 9m Discuss
- 7. A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Options- A. 110.12 meters
- B. 111.12 meters
- C. 112.12 meters
- D. 113.12 meters Discuss
- 8. In a 300 m race, A beats B by 22.5 m or 6 seconds. B's time over the course is:
Options- A. 86 sec
- B. 80 sec
- C. 76 sec
- D. None of these Discuss
- 9. In a game of 100 points, A can give B 20 points and C 28 points. Then, B can give C:
Options- A. 8 points
- B. 10 points
- C. 14points
- D. 40points Discuss
- 10. In a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C:
Options- A. 18 m
- B. 20 m
- C. 27m
- D. 9 m Discuss
Races and Games problems
Search Results
Correct Answer: 127.5 meters
Explanation:
When A runs 1000 meters, B runs 900 meters and when B runs 800 meters, C runs 700 meters.
Therefore, when B runs 900 meters, the distance that C runs = (900 x 700)/800 = 6300/8 = 787.5 meters.
So, in a race of 1000 meters, A beats C by (1000 - 787.5) = 212.5 meters to C.
So, in a race of 600 meters, the number of meters by Which A beats C = (600 x 212.5)/1000 = 127.5 meters.
Correct Answer: 10 points
Correct Answer: 28m
Correct Answer: 25 m
Explanation:
A : B = 200 : 169.
A : C = 200 : 182.
C/B = (C/A*A/B) = (182/200*200/169) = 182:169
When C covers 182 m, B covers 169 m.
When C covers 350 m, B covers (169/180*350)m = 325 m
Therefore, C beats B by (350 - 325) m = 25 m.
Correct Answer: 200 m
Explanation:
Ratio of the speeds of A and B =5 : 1 = 5 :3
Thus, in race of 5 m, A gains 2 m over B.
2 m are gained by A in a race of 5 m.
80 m will be gained by A in race of m =200m
=> Winning post is 200 m away from the starting point.
Correct Answer: 20 m
Correct Answer: 111.12 meters
Explanation:
A runs 1000 meters while B runs 900 meters and C runs 800 meters.
Therefore, B runs 900 meters while C runs 800 meters.
So, the number of meters that C runs when B runs 1000 meters = (1000 x 800)/900 = 8000/9 = 888.88 meters
Thus, B can give C (1000 - 888.88) = 111.12 meters start
Correct Answer: 80 sec
Explanation:
B runs 45/2mts in 6 sec
B covers 300m in (6*2/45*300)sec =80 sec
Correct Answer: 10 points
Explanation:
A : B = 100 : 80.
A : C = 100 : 72.
B:C = B/A*A/C = 80/10*100/72 = 10/9 = 100/90 = 100:90
B can give C 10 points
Correct Answer: 20 m
Explanation:
A : B = 100 : 90.
A : C = 100 : 72.
B:C = B/A*A/C = 90/100*100/72 = 90/72
When B runs 90 m, C runs 72 m.
When B runs 100 m, C runs (72/90*100)m = 80m
B can give C 20 m.
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