Races and games


  1. In 1 km race, A beats B by 18 m or 9 s. Find the A' s time over the course.
    1. 391 s
    2. 591 s
    3. 491 s
    4. 500 s

  1. View Hint View Answer Discuss in Forum

    Clearly, B covers 18 m in 9 s.
    ∴ B's time over the course = 9/18 x 1000 = 500 s

    Correct Option: C

    Clearly, B covers 18 m in 9 s.
    ∴ B's time over the course = 9/18 x 1000 = 500 s
    ∴ A' s time over the course = (500 - 9) = 491 s


  1. In a 1000 m race, X beats Y by 140 m or 14 s. What will be the X's time over the course?
    1. 86 s
    2. 90 s
    3. 95 s
    4. 76 s

  1. View Hint View Answer Discuss in Forum

    Clearly, Y covers 140 m in 14 s
    ∴ Y' s time over the course = (14/140) x 1000 = 100 s

    Correct Option: A

    Clearly, Y covers 140 m in 14 s
    ∴ Y' s time over the course = (14/140) x 1000 = 100 s
    ∴ X' s time over the course = 100 - 14 = 86 s



  1. In a 400 m race, A runs at a speed of 16 m/s. If A gives B a start of 16 m and still beats him by 40 s, What will be the speed of B?
    1. 6 m/s
    2. 8 m/s
    3. 15 m/s
    4. 5.9 m/s

  1. View Hint View Answer Discuss in Forum

    Time taken by A to cover 400 m = Distance/ Speed
    = 400/16 s = 25 s
    ∴ B covers (400 -16) = 384 m in(25 + 40) = 65 s

    Correct Option: D

    Time taken by A to cover 400 m = Distance/ Speed
    = 400/16 s = 25 s
    ∴ B covers (400 -16) = 384 m in(25 + 40) = 65 s
    ∴ B's speed = 384/65 =5.9 m/s


  1. A can run 45 m while B runs 50 m. In a km race B beats A by how many metres ?
    1. 150 m
    2. 200 m
    3. 100 m
    4. 125 m

  1. View Hint View Answer Discuss in Forum

    When B runs 50 m, then A runs 45 m.
    When B runs 1000 m, then A runs (45/50) x 1000 m = 900 m

    Correct Option: C

    When B runs 50 m, then A runs 45 m.
    When B runs 1000 m, then A runs (45/50) x 1000 m = 900 m
    ∴ B beats A by 100 m.



  1. A can run 200 m in 35 seconds and B in 38 seconds. By what distance A beats B?
    1. 15 m
    2. 1523 m
    3. 151519 m
    4. 15419 m

  1. View Hint View Answer Discuss in Forum

    The distance covered by B in 35 seconds = 200 x 35 / 38 = 3500 / 19 m

    Correct Option: C

    The distance covered by B in 35 seconds = 200 x 35 / 38 = 3500 / 19 m
    Now, 200 – 3500 / 19 = 300 / 19 = 151519 m Hence, A can beat B by 151519 m.