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Challenge Response 66


The dog and the hare

There is an inverse relationship between the dog's leaps and the hare's leaps, meaning a hare's leap is worth 2/5 dog's leaps. We can then write:

number of hopshop value
dog jumps52
hare leaps85

Since the relationship between the hops is inverse, we will perform an inverted multiplication, that is, we will multiply the dog's 5 hops by the value of the hare's jump (5) and multiply the 8 hare's hops by the value of the dog's hopping (2). Thus we will have: 5 x 5 = 25 (for the dog) and 8 x 2 = 16 (for the hare).

At any moment, the dog will be taking a difference of 25 - 16 = 9 jumps. Since the distance between them is 36 dog jumps, it follows that the dog will have to travel this distance 36/9 = 4 times to reach the hare. Now, by multiplying the dog factor (25) by 4, we get: 25 x 4 = 100 dog jumps.

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