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A hare, pursued by a grey hound is 50 of her own leaps before him. While the hare takes 4 leaps, the grey hound takes 3 leaps. In one leap, the hare goes 1.75 metres and the grey hound 2.75 metres. In how many leaps, will the grey hound overtake the hare?
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- 210 leaps
- 220 leaps
- 230 leaps
- 250 leaps
Correct Option: A
Grey hound and hare make 3 leaps and 4 leaps respectively. This happens at the same time.
The hare goes 1.75 metres in 1 leap.
∴ Distance covered by hare in 4 leaps = 4 × 1.75 = 7 metres
The grey hound goes 2.75 metres in one leap.
∴ Distance covered by it in 3
leaps
= 3 × 2.75 = 8.25 metres
Distance gained by grey hound in 3 leaps = (8.25 − 7)
= 1.25 metres
Distance covered by hare in 50 leaps = 50 × 1.75 metres
= 87.5 metres
Now, 1.25 metres is gained by grey hound in 3 leaps
∴ 87.5 metres is gained in
| × 87.5 = 210 leaps. | |
| 1.25 |
