Time, Speed & Distance
Aptitude

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Q.

A hare, pursued by a grey-hound is 20 of her own leaps ahead of him. While the hare takes 4 leaps, the grey-hound takes 3 leaps. 3 leaps of grey-hound is equal to 2 leaps of hare. In how many leaps will the grey-hound 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 grey-hound takes 3 leaps

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

3 leaps of grey-hound = 2 leaps of hare

1 leaps of grey-hound = \(\dfrac{2}{3}\) leaps of hare

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

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

grey-hound covers 20 leaps in \(\dfrac{20}{1/9}\)

180 leaps


(5) Comment(s)


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.