Aptitude

Question:
A runs 1 times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?

[A].

200 m

[B].

300 m

[C].

270 m

[D].

160 m

Answer: Option A

Explanation:

Ratio of the speeds of A and B =	5	: 1 = 5 : 3.
	3

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		5	x 80	m	= 200 m.
		2

Winning post is 200 m away from the starting point.

Question:
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		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.

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

[A].

100 m

[B].

111	1	m
	9

[C].

25 m

[D].

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.

Question:
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

Answer: Option B

Explanation:

B runs	45	m in 6 sec.
	2

B covers 300 m in		6 x	2	x 300	sec	= 80 sec.
			45

Question:
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.

Question:
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.