Time, Speed & Distance
Aptitude

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Q.

A hare, pursued by a greyhound is 20 of her own leaps ahead of him. While the hare takes 4 leaps, the greyhound takes 3 leaps. 2 leaps of the greyhound is equal to 3 leaps of the hare.

In how many leaps will the greyhound overtake the hare?

 A.

180 leaps

 B.

270 leaps

 C.

360 leaps

 D.

90 leaps

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Solution:
Option(A) is correct

When hare takes 4 leaps, the greyhound takes 3 leaps

When greyhound takes 1 leap hare will take \(\dfrac{4}{3}\) leaps

2 leaps of greyhound = 3 leaps of hare

1 leaps of greyhound = \(\dfrac{3}{2}\) leaps of hare

\(\dfrac{4}{3}\) leaps of hare = \(\dfrac{4}{3}\times \dfrac{2}{3}=\dfrac{8}{9}\) leaps of greyhound

Now the greyhound covers leaps\(\left(1-\dfrac{8}{9}\right)=\dfrac{1}{9}\) in his every leap.

greyhound covers 20 leaps in \(\dfrac{20}{1/9}\)

180 leaps

Edit: Based on the comments, updated the question. (Changed 3 leaps of the greyhound is equal to 2 leaps of the hare to 2 leaps of the greyhound is equal to 3 leaps of the hare.)


(7) Comment(s)


Mian Nauman
 ()

If we take time constant hare takes more leaps than hound i.e (4/3) and have more distance covered in his one leap as compared to hound's one leaps so distance of hare leap is more and time is less the question is totally wrong.


Deepak
 ()

You are right, changed the question. Hope it fixes the issue.


Vaishali
 ()

I did not understand soln...pls give the simple solution..pls explain in brief..



Prudhvi
 ()

2/3 leaps of hare = 1 leaps of grey-hound

4/3 leaps of hare = 4/3×3/2=2 leaps of grey-hound

The question is wrong and so is the answer.


Aman
 ()

I guess you have misunderstood the question. The first information given in the question ('While the hare takes 4 leaps, the greyhound takes 3 leaps.') talks about the TIME taken by them.

And the second information given ('3 leaps of greyhound is equal to 2 leaps of a hare.') talks about the DISTANCE travelled by them.

I believe the question as well as the solution is correct.


Prudhvi
 ()

1 leaps of grey-hound = 2/3 leaps of hare

4/3 leaps of hare = 4/3×3/2=2 leaps of grey-hound

The question is wrong and so is the answer.


Aman
 ()

I've replied to your other comment on why this question as well as solution is correct. Please check there.