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Races and Games - General Questions (1)

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  • Races and Games
  • Races and Games - General Questions
1. 

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:

A. 21 m
B. 26 m
C. 28 m
D. 29 m

Answer: Option C

Explanation:

 

A : B = 100 : 75

B : C = 100 : 96.

 A : C = 1-sym-oparen-h1 A x B 1-sym-cparen-h1 = 1-sym-oparen-h1 100 x 100 1-sym-cparen-h1 = 100 = 100 : 72.
B C 75 96 72

 A beats C by (100 - 72) m = 28 m.

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2. 

A runs 11-div-2by3times 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?

A. 200 m
B. 300 m
C. 270 m
D. 160 m

Answer: Option A

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 1-sym-oparen-h1 5 x 80 1-sym-cparen-h1m = 200 m.
2

 Winning post is 200 m away from the starting point.

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3. 

In a 300 m race A beats B by 22.5 m or 6 seconds. B's time over the course is:

A. 86 sec
B. 80 sec
C. 76 sec
D. None of these

Answer: Option B

Explanation:

B runs 45 m in 6 sec.
2
 B covers 300 m in 1-sym-oparen-h1 6 x 2 x 300 1-sym-cparen-h1sec = 80 sec.
45
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4. 

A can run 22.5 m while B runs 25 m. In a kilometre race B beats A by:

A. 100 m
B. 111 1/9 m
C. 25 m
D. 50 m

Answer: Option A

Explanation:

When B runs 25 m, A runs 45 m.
2
When B runs 1000 m, A runs 1-sym-oparen-h1 45 x 1 x 1000 1-sym-cparen-h1m = 900 m.
2 25

 B beats A by 100 m.

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5. 

In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is:

A. 40 sec
B. 47 sec
C. 33 sec
D. None of these

Answer: Option C

Explanation:

B runs 35 m in 7 sec.

 B covers 200 m in 1-sym-oparen-h1 7 x 200 1-sym-cparen-h1 = 40 sec.
35

B's time over the course = 40 sec.

 A's time over the course (40 - 7) sec = 33 sec.

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6. 

In a game of 100 points, A can give B 20 points and C 28 points. Then, B can give C:

A. 8 points
B. 10 points
C. 14 points
D. 40 points

Answer: Option B

Explanation:

A : B = 100 : 80.

A : C = 100 : 72.

B = 1-sym-oparen-h1 B x A 1-sym-cparen-h1 = 1-sym-oparen-h1 80 x 100 1-sym-cparen-h1 = 10 = 100 = 100 : 90.
C A C 100 72 9 90

 B can give C 10 points.

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7. 

In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:

A. 20 m
B. 25 m
C. 22.5 m
D. 9 m

Answer: Option A

Explanation:

Distance covered by B in 9 sec. = 1-sym-oparen-h1 100 x 9 1-sym-cparen-h1m = 20 m.
45

 A beats B by 20 metres.

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8. 

In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:

A. 22.75 m
B. 25 m
C. 19.5 m
D. 7 4/7 m

Answer: Option B

Explanation:

 

A : B = 200 : 169.

A : C = 200 : 182.

C = 1-sym-oparen-h1 C x A 1-sym-cparen-h1 = 1-sym-oparen-h1 182 x 200 1-sym-cparen-h1 = 182 : 169.
B A B 200 169

When C covers 182 m, B covers 169 m.

When C covers 350 m, B covers 1-sym-oparen-h1 169 x 350 1-sym-cparen-h1m = 325 m.
182

Therefore, C beats B by (350 - 325) m = 25 m.

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