A hare pursued by a hound is 50 of her own leaps ahead of him. When the hare takes 4 leaps, the hound takes 3. In one leap the hare goes 1¾ meters and the hound 2¾ meters. In how many leaps will the hound overtake the hare?
Explanation:
50 leaps of Hare = 50 × 13/4 = 175/2 m
So, the hound should gain 175/2 m over hare.
Now, when the hound travels 3 × 2¾ m hare travels 4 × 1¾ m
∴ In 3 leaps of Hound, the hound gain =33/4 - 28/4 = 5/4 m
∴ Number of leaps required = (175∕2)/(5∕4) × 3 = 210 leaps
Hence, option (c).
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