Races and Games Multiple Choice Questions

Races and Games

Question 1.

 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.

18.5 m

Explanation :

 A : B = 200 : 169.
A : C = 200 : 182.
C/A = (C/A x A/B) = (182/200 x 200/169) = 182 : 169.
When C covers 182 m, B covers 169 m.
When C covers 350 m, B covers (169/182 x 350) m = 325 m. 
Therefore, C beats B by (350 - 325) m = 25 m.

Question 2.

 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.

60m

B.

40m

C.

20m

D.

10m

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 (4/3 x 360) m= 480 m. 
Thus, when A reaches the winning post, B covers 480 m and therefore remains 20 m behind.
 A wins by 20 m.

Question 3.

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

A.

100 m

B.

75 m

C.

25 m

D.

50m

Explanation :

 When B runs 25 m, A runs 45/2m. 
When B runs 1000 m, A runs (45/2 x 1/25 x 1000) m = 900 m.
 B beats A by 100 m.

Question 4.

 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

Explanation :

 4.14 kmph

Question 5.

 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

Explanation :

 B runs 45/2 m in 6 sec.
 B covers 300 m in (6 x 2/45 x 300) sec= 80 sec.