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  • Question
  • 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

  • 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.


  • Races and Games problems


    Search Results


    • 1. 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
    • 2. 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
    • 3. 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
    • 4. 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
    • 5. In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m ?

    • Options
    • A. 127.5 m
    • B. 254 m
    • C. 184 m
    • D. 212 m
    • Discuss
    • 6. 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
    • 7. 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
    • 8. 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
    • 9. 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
    • 10. 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


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