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Races and Games - General Questions (2)

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  • Races and Games - General Questions
9. 

At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?

A. 30 points
B. 20 points
C. 10 points
D. 12 points

Answer: Option C

Explanation:

 

A : B = 60 : 45.

A : C = 60 : 40.

B = 1-sym-oparen-h1 B x A 1-sym-cparen-h1 = 1-sym-oparen-h1 45 x 60 1-sym-cparen-h1 = 45 = 90 = 90 : 80.
C A C 60 40 40 80

 B can give C 10 points in a game of 90.

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10. 

In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:

A. 5.4 m
B. 4.5 m
C. 5 m
D. 6 m

Answer: Option D

Explanation:

 

A : B = 100 : 90.

A : C = 100 : 87.

B = B x A = 90 x 100 = 30 .
C A C 100 87 29

When B runs 30 m, C runs 29 m.

When B runs 180 m, C runs 1-sym-oparen-h1 29 x 180 1-sym-cparen-h1m = 174 m.
30

 B beats C by (180 - 174) m = 6 m.

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11. 

In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:

A. 60 m
B. 40 m
C. 20 m
D. 10 m

Answer: Option C

Explanation:

 

To reach the winning post A will have to cover a distance of (500 - 140)m, i.e., 360 m.

While A covers 3 m, B covers 4 m.

While A covers 360 m, B covers 1-sym-oparen-h1 4 x 360 1-sym-cparen-h1m = 480 m.
3

Thus, when A reaches the winning post, B covers 480 m and therefore remains 20 m behind.

 A wins by 20 m.

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12. 

A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:

A. 5.15 kmph
B. 4.14 kmph
C. 4.25 kmph
D. 4.4 kmph

Answer: Option B

Explanation:

 

A's speed = 1-sym-oparen-h1 5 x 5 1-sym-cparen-h1m/sec = 25 m/sec.
18 18
Time taken by A to cover 100 m = 1-sym-oparen-h1 100 x 18 1-sym-cparen-h1sec = 72 sec.
25

 Time taken by B to cover 92 m = (72 + 8) = 80 sec.

 B's speed = 1-sym-oparen-h1 92 x 18 1-sym-cparen-h1kmph = 4.14 kmph.
80 5
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13. 

In a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C:

A. 18 m
B. 20 m
C. 27 m
D. 9 m

Answer: Option B

Explanation:

 

A : B = 100 : 90.

A : C = 100 : 72.

B : C = B x A = 90 x 100 = 90 .
A C 100 72 72

When B runs 90 m, C runs 72 m.

When B runs 100 m, C runs 1-sym-oparen-h1 72 x 100 1-sym-cparen-h1m = 80 m.
90

 B can give C 20 m.

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