Race and game

Q 1: A can run 288 meter in 20 seconds and B in 24 seconds. By what distance A beat B? A)45 meter B)48 meter C)30 meter D)58 meter Answer : Option B Explanation: Clearly, A beats B by 4 seconds Now find out how much B will run in these 4 seconds Speed of B =Distance/Time taken by B=288/24=12 m/s Distance covered by B in 4 seconds = Speed Ũ time =12Ũ4= 48 meter i.e., A beat B by 48 meter Q 2: In a 200 m race A beats B by 10 m or 4 seconds. B's time over the course is: A)70 seconds B)85 seconds C)75 seconds D)80 seconds Answer : Option D Explanation: B runs 10 m in 4 seconds => B runs 200 m in (4/10)x 200=80 second B's time over the course = 80 seconds Q 3: In a game of 80 points A can give B 20 points and C 50 points. How many points can B give C in a game of 100 points? A)58 points B)40 points C)50 points D)45 points Answer : Option C Explanation: While A scores 80 points, B scores (80-20)=60 points and C scores (80-50)= 30 points i.e. when B scores 60 points, C scores 30 points => When B scores 100 points, C scores (30/60)x 100=50 points i.e.In a game of 100 points, B can give C (100-50)=50 points Q 4: In one km race A beats B by 4 seconds or 80 meters. How long does B take to run the kilometer? A)50 seconds B)40 seconds C)58 seconds D)None of these Answer : Option A Explanation: This means, B takes 4 seconds to run 80 meters => B takes 4/80=1/20 seconds to run 1 meters => B takes (1/20)Ũ1000=50 seconds to run 1000 meter

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