MCQ: Races and Games of Skill - 1 - SSC CGL MCQ

B runs 45/2 m in 6 sec.

= 80 sec.

When B runs 25 m, A runs 45/2 m.
When B runs 1000 m,

∴ B beats A by 100 m.

A : B = 100 : 75
B : C = 100 : 96.

= 100 : 72.
∴ A beats C by (100 - 72) m = 28 m.

A : B = 60 : 45.
A : C = 60 : 40.

= 90 : 80.
∴ B can give C 10 points in a game of 90.

Time taken by A to cover 100 m 
= 72 sec.
Time taken by B to cover 92 m = (72 + 8)
= 80 sec.

A : C = 200 : 182.


When C covers 182 m, B covers 169 m.
When C covers 350 m,         

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

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

When B runs 90 m, C runs 72 m.

When B runs 100 m, C runs 
∴ B can give C 20 m.

Ratio of the speeds of A and B = 
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 
= 200 m.
∴ Winning post is 200 m away from the starting point.

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

Distance covered by B in 9 sec.

∴ A beats B by 20 metres.