Races and games
- A can run 45 m while B runs 50 m. In a km race B beats A by how many metres ?
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When B runs 50 m, then A runs 45 m.
When B runs 1000 m, then A runs (45/50) x 1000 m = 900 mCorrect 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.
- 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?
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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 sCorrect 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
- In a 1000 m race, X beats Y by 140 m or 14 s. What will be the X's time over the course?
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Clearly, Y covers 140 m in 14 s
∴ Y' s time over the course = (14/140) x 1000 = 100 sCorrect 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
- In 1 km race, A beats B by 18 m or 9 s. Find the A' s time over the course.
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Clearly, B covers 18 m in 9 s.
∴ B's time over the course = 9/18 x 1000 = 500 sCorrect 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
- In a game of 100 points, A scores 100 points while B scores only 65 points. In this game, how much points can A give to B?
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Score of A = 100 points
Score of B = 65 points
∴ A can give (100 - 65 ) pointsCorrect Option: B
Score of A = 100 points
Score of B = 65 points
∴ A can give (100 - 65 ) = 35 points to B.