Aptitude Discussion

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 |

**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**

**Vaishali**

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**Prudhvi**

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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.

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**

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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.

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

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