Aptitude - Races and Games

Exercise :: Races and Games - General Questions

Races and Games - Important Formulas
Races and Games - General Questions

6.

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:

22.75 m

25 m

19.5 m

7	4	m
	7

Answer: Option B

Explanation:

A : B = 200 : 169.

A : C = 200 : 182.

C = C x A = 182 x 200 = 182 : 169.

B A B 200 169

When C covers 182 m, B covers 169 m.

When C covers 350 m, B covers 169 x 350 m = 325 m.

182

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

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. = 100 x 9 m = 20 m.

45

A beats B by 20 metres.

8.

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 = B x A = 80 x 100 = 10 = 100 = 100 : 90.

C A C 100 72 9 90

B can give C 10 points.

9.

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 7 x 200 = 40 sec.

35

B's time over the course = 40 sec.

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

10.

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

100 m

111	1	m
	9

25 m

50 m

Answer: Option A

Explanation:

When B runs 25 m, A runs 45 m.

2

When B runs 1000 m, A runs 45 x 1 x 1000 m = 900 m.

2 25

B beats A by 100 m.

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