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Challenge Question(Just for fun)-Tiger v/s Rabbit

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by harsh.champ » Fri Feb 19, 2010 10:54 am
[Not a GMAT question-Just brainstorming]
A tiger is chasing a rabbit. The tiger takes 4 leaps for every 6 leaps of the rabbit and the tiger covers as much distance in 2 leaps as 3 leaps of the rabbit. Will the tiger succeed in getting its food?

(A)In the 1st leap
(B)In the 2nd leap
(C)In the 6th leap
(D)Never
(E)Cannot be determined

Dont look at the answer right -away.
[spoiler]
Distance covered in 2 leaps by tiger = 3 leaps of the rabbit.
Distance covered in 1 leap of tiger = 3/2 leaps of rabbit. ----(1)

4 leaps of tiger : 6 leaps of rabbit ----(2)

Using (1) and (2), we get
4*3/2 leaps of tiger : 6 leaps of rabbit.
=> 1:1
If the tiger and rabbit start simultaneously at the same point, the tiger will catch the rabbit immediately. If not so, then the tiger will never catch the rabbit as it was running at the same speed.
As it was not mentioned in the question that they start simultaneously from the same point or not, we can't determine the answer. Therefore, the answer choice is (E). [/spoiler]
It takes time and effort to explain, so if my comment helped you please press Thanks button :)



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by shashank.ism » Sat Feb 20, 2010 5:28 am
harsh.champ wrote:[Not a GMAT question-Just brainstorming]
A tiger is chasing a rabbit. The tiger takes 4 leaps for every 6 leaps of the rabbit and the tiger covers as much distance in 2 leaps as 3 leaps of the rabbit. Will the tiger succeed in getting its food?

(A)In the 1st leap
(B)In the 2nd leap
(C)In the 6th leap
(D)Never
(E)Cannot be determined

Dont look at the answer right -away.
[spoiler]
Distance covered in 2 leaps by tiger = 3 leaps of the rabbit.
Distance covered in 1 leap of tiger = 3/2 leaps of rabbit. ----(1)

4 leaps of tiger : 6 leaps of rabbit ----(2)

Using (1) and (2), we get
4*3/2 leaps of tiger : 6 leaps of rabbit.
=> 1:1
If the tiger and rabbit start simultaneously at the same point, the tiger will catch the rabbit immediately. If not so, then the tiger will never catch the rabbit as it was running at the same speed.
As it was not mentioned in the question that they start simultaneously from the same point or not, we can't determine the answer. Therefore, the answer choice is (E). [/spoiler]
so let x be the disatnce covered by rabbit in 1 leap
tiger covers 3/2 x distance in 1 leap
let after y leaps tiger catches rabbit
4yx = 3/2 x 6y
so it gives 4= 9 which is not possible
i.e. if tiger has fixed 4 leap for every 6 leap of rabbit it is not possible

Ans D
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