Aptitude - Races and Games

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		72	x 100	m	= 80 m.
		90

B can give C 20 m.

Answer: Option B

Explanation:

A's speed =		5 x	5	m/sec	=	25	m/sec.
			18			18

Time taken by A to cover 100 m =		100 x	18	sec	= 72 sec.
			25

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

B's speed =		92	x	18	kmph	= 4.14 kmph.
		80		5

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		4	x 360	m	= 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.

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		29	x 180	m	= 174 m.
		30

B beats C by (180 - 174) m = 6 m.

Answer: Option C

Explanation:

A : B = 60 : 45.

A : C = 60 : 40.

B

=

B

x

A

=

45

x

60

=

45

=

90

= 90 : 80.

C

A

C

60

40

40

80

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