Solution to puzzle 24

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 The question was

Tortoiseville and Haretown are 55 miles apart. A rabbit is travelling from Haretown to Tortoiseville at a speed of 8 miles per hour. A tortoise is travelling from Tortoiseville to Haretown at a speed of 3 miles per hour. What distance will the rabbit travel before it meets the tortoise? 

Solution : 40 miles

Let us say after h hours, both hare and tortoise meet. 

  • In h hours hare travels 8h miles
  • In h hours, tortoise travels 3h miles
  • As they both meet, 8h+3h = 55
  • 11h =55. 
  • h = 55/11 = 5 hours
After 5 hours they both meet. 
In 5 hours, hare has travelled 5x8 miles = 40 miles

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