Aptitude - Races and Games - Discussion

Discussion Forum : Races and Games - General Questions (Q.No. 3)
3.
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:
60 m
40 m
20 m
10 m
Answer: Option
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.

Discussion:
14 comments Page 2 of 2.

Anand said:   6 years ago
Here is the simplest method,

Speed ratio is 3:4 SO let consider 3m & 4m for both A & B.
A travels 360 and B travels 500.
This means A takes 120 seconds and B takes 125 seconds.
5 seconds more than A is travelled by B.
In one B travels 4m.
So in 5 seconds, 5*4=20m.
B travels 20m more than A.
That is A win by 20m.
(4)

BKD said:   5 years ago
3/4 = (500-140)/x.
x = 480.

Thus, In 500 m race, A gives B by 20m i.e.500-480.
(1)

ANUPCHERRY said:   4 years ago
A : B =140M.
3X + 4X =7X,
140/7 = 20M.
(8)

Yadu said:   3 years ago
How come we take 3 as 3m and 4 as 4m If time is not a constant here?

Anyone, explain to me.


Post your comments here:

Your comments will be displayed after verification.