Races and games


  1. In a race of 300 metres A beats B by 15 metres or 5 seconds. How much time A does take to complete the race?









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    From the question it is clear that speed of B = 15 / 5 = 3 m/s
    The time taken by B to cover 300 m = 300 / 3 = 100 sec.

    Correct Option: C

    From the question it is clear that speed of B = 15 / 5 = 3 m/s
    The time taken by B to cover 300 m = 300 / 3 = 100 sec.
    Hence, time taken by A to complete the race = 100 – 5 = 95 sec.


  1. In a game, A can give B 20 points, A can give C 32 points and B can give C 15 points. How many points make the game?









  1. View Hint View Answer Discuss in Forum

    Suppose, P points make the game.
    Clearly, when A scores P points, B scores (P - 20) points and C scores (P - 32) points.
    Now, when B scores P points, C scores (P - 15) points.

    Correct Option: A

    Suppose, P points make the game.
    Clearly, when A scores P points, B scores (P - 20) points and C scores (P - 32) points.
    Now, when B scores P points, C scores (P - 15) points.
    When B scores (P - 20) points,
    C scores [( P - 15 ) / P * P (P - 20)] points
    ∴ (P - 15)( P - 20) / P = P - 20 or, P = 100
    Hence, 100 points make the game.



  1. In a Km race A beats B by 25 m or 5 sec. Then find out the time taken by A to complete the race.









  1. View Hint View Answer Discuss in Forum

    B runs 25 m in 5 seconds.
    ∴ B’s time to cover 1 Km = 5 x 100 / 25 = 200 sec

    Correct Option: A

    B runs 25 m in 5 seconds.
    ∴ B’s time to cover 1 Km = 5 x 100 / 25 = 200 sec
    A’s time to cover one Km = 200 - 5 = 195 seconds
    = 3 minutes 15 seconds.


  1. A runner runs 114 laps of a 5 lap race. What fractional part of the race remains to be run?









  1. View Hint View Answer Discuss in Forum

    race remains to be run = 5 - 54

    Correct Option: A

    race remains to be run = 5 - 54 = 154 .



  1. In a game of 250 points A can give B 50 points and C 70 points. In the same game how many points can B give C?









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    In a game of 250 points, A scores 250 then B scores 200 points and C scores 180.

    Correct Option: D

    In a game of 250 points, A scores 250 then B scores 200 points and C scores 180.
    ∴ B scores 250 points while C scores 180 x 250 / 200 = 225 points
    Hence, in a game of 250 points B can give C (250 – 225) = 25 points