• Placement Papers
• /
• TCS

TCS Question Papers: TCS Interview Experience(90) TCS Company Profile

(#M40012116) TCS question Keep an EYE

A hare and tortise hav a race along a circle of 100 yards diameter.the tortise goes in one direction and the hare in the other.the hare starts after the tortise has covered 1/5 of its distance and that too leisurely.the hare and tortise meet when the hare has covered only 1/8 of the distance.by what factor should the hare increase its speed so as to tie the race?

Asked In TCS (11 years ago)

Unsolved Read Solution (3)

Is this Puzzle helpful?   (4)   (0) Submit Your Solution

Read Solution (3) :

goldy  (11 years ago)

Total circumfrance = pie*diameter
tortoise has covered = 20pie
remaining distance = 80 pie
1/8th of total distance = 12.5 pie
let the velocity of tortoise = u and that of hare =v
on time comparison we get
67.5 pie/u = 12.5 pie/v
5.4v=u so v=u/5.4

now for remaining journey time taken by tortoise = 12.5 pie/u
so velocity of hare to make a tie ,by time comparison
12.5pie/u=87.5pie/v1, where v1 is the increased factor
thus v1=7u and u=5.4v
thus v1=7*5.4=37.8v
so the hare has to increase his speed by a factor of 37.8 to tie the race.

Is this solution Helpfull? Yes (19) | No   

Koushik Pal  (11 years ago)

(1/8)*(u/v)=1-(1/8)-(1/5)
=>(u/v)=27/5
and
(1/8)*(v'/u)=1-(1/8)
=>(v'/u)=7
then,(u/v)*(v'/u)=(27/5)*7
=>(v'/v)=189/5=37.8
You can do all this type of apti question by this method.....

Is this solution Helpfull? Yes (1) | No   

Koushik Pal  (11 years ago)

(1/8)*(u/v)=1-(1/8)-(1/5)
=>(u/v)=27/5
and
(1/8)*(v'/u)=1-(1/8)
=>(v'/u)=7
then,(u/v)*(v'/u)=(27/5)*7
=>(v'/v)=189/5=37.8
You can do all this type of apti question by this method.....

Is this solution Helpfull? Yes (1) | No   

Please Login to Read Solution.