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.

Malli said:   1 decade ago
Hai, my dout is same that of vamsi.

Why we had taken 4/3 in problem?

Vamsi said:   1 decade ago
I didn't understand how it can be 4/3. ?

Sudheer said:   1 decade ago
Hi kriti here speed and distance are directly proportinal. If his speed is 10km/hr he cover 10km distance. If speed is 20km/hr he can cover 20 km distance. Thus speed and distance are directly proportinal. So here distance ratios also become3:4. But the time ratio will become4:3 because time and speed are inversly proportinal.

Kriti said:   1 decade ago
Hi, when 3:4 is the ratio of speeds how can we use it
as 3m and 4m for A and B resp.?


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