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  • Question
  • 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

  • Correct Answer
  • 200 m 

    Explanation

    Ratio of the speeds of A and B = 5 : 1 = 5 : 3.
    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 5 x 80 ❩m = 200 m.
    2

    ∴ Winning post is 200 m away from the starting point.


    Races and Games problems


    Search Results


    • 1. 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
    • 2. 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
    • 3. 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
    • 4. 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
    • Discuss
    • 5. 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
    • 6. 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
    • 7. In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:

    • Options
    • A. 20 m
    • B. 25 m
    • C. 22.5 m
    • D. 9 m
    • Discuss
    • 8. A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:

    • Options
    • A.
      1
      22
    • B.
      3
      22
    • C.
      2
      91
    • D.
      2
      77
    • Discuss
    • 9. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

    • Options
    • A.
      1
      2
    • B.
      2
      5
    • C.
      8
      15
    • D.
      9
      20
    • Discuss
    • 10. Two dice are tossed. The probability that the total score is a prime number is:

    • Options
    • A.
      1
      6
    • B.
      5
      12
    • C.
      1
      2
    • D.
      7
      9
    • Discuss


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