Multiple choice general knowledge math & puzzles

A dog takes 4 leaps for every 5 leaps of a hare but 3 leaps of a dog are equal to 4 leaps of the hare. Compare their speeds.

  1. 16:15

  2. 4:1

  3. 21:18

  4. 24:16
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A Correct answer
Explanation

If a dog takes 4 leaps for every 5 leaps of a hare, and 3 dog leaps equal 4 hare leaps, then dog speed: hare speed = (4/3) : (5/4) = 16:15. This is found by calculating distance per unit time for each animal. The dog covers 4 hare-leap distances in the time hare takes 5 leaps, creating the ratio 16:15.

AI explanation

In the same time, the dog takes 4 leaps while the hare takes 5, so their leap rates are in ratio 4:5. Separately, 3 dog leaps cover the same distance as 4 hare leaps, so each dog leap is 4/3 the length of a hare leap. Speed = leaps per time × leap length, so dog:hare speed = (4 × 4/3) : (5 × 1) = 16/3 : 5 = 16:15.

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