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  • Question
  • In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:


  • Options
  • A. 60 m
  • B. 40 m
  • C. 20 m
  • D. 10 m

  • Correct Answer
  • 20 m 

    Explanation
    To reach the winning post A will have to cover a distance of (500 - 140)m, i.e., 360 m.

    While A covers 3 m, B covers 4 m.

    While A covers 360 m, B covers 4 x 360 ❩m = 480 m.
    3

    Thus, when A reaches the winning post, B covers 480 m and therefore remains 20 m behind.

    ∴ A wins by 20 m.


    Races and Games problems


    Search Results


    • 1. 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. 28 m
    • D. 29 m
    • Discuss
    • 2. 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.
      7 4 m
      7
    • Discuss
    • 3. A can run 22.5 m while B runs 25 m. In a kilometre race B beats A by:

    • Options
    • A. 100 m
    • B.
      111 1 m
      9
    • C. 25 m
    • D. 50 m
    • Discuss
    • 4. 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. 9 m
    • Discuss
    • 5. In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is:

    • Options
    • A. 40 sec
    • B. 47 sec
    • C. 33 sec
    • D. None of these
    • Discuss
    • 6. A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:

    • Options
    • A. 5.15 kmph
    • B. 4.14 kmph
    • C. 4.25 kmph
    • D. 4.4 kmph
    • Discuss
    • 7. At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?

    • Options
    • A. 30 points
    • B. 20 points
    • C. 10 points
    • D. 12 points
    • Discuss
    • 8. In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:

    • Options
    • A. 5.4 m
    • B. 4.5 m
    • C. 5 m
    • D. 6 m
    • Discuss
    • 9. A runs 1⅔ 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. 300 m
    • C. 270 m
    • D. 160 m
    • 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. 14 points
    • D. 40 points
    • Discuss


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