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### Math Puzzles & Brain Teasers

The Hare and the Tortoise

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 Hide all answers   View all answers   Print   Try the Quiz Haretown and Tortoiseville are 30 miles apart. A hare travels at 9 miles per hour from Haretown to Tortoiseville, while a tortoise travels at 1 miles per hour from Tortoiseville to Haretown.If both set out at the same time, how many miles will the hare have to travel before meeting the tortoise en route? Answer: 27 Solution: The hare and the tortoise are together covering the distance at 10 miles per hour (i.e., on adding their speeds). So, they will cover the distance of 30 miles in 3 hours. Thus, in 3 hours, they will meet and the hare will have traveled 27 miles. Alternative Solution through Equations: Note that : Distance = Speed × Time Let t be the time before the hare and the tortoise meet. In t hours, the hare will travel 9 t miles. In t hours, the tortoise will travel 1 t miles. Now, 9 t + 1 t = 30 So, t = 30 ⁄ 10 = 3 hours. Thus, distance traveled by hare before meeting = 9 × 3 = 27 miles. Food for thought: Wish to try a more challenging puzzle similar in concept to this one? Then click here.   Try the Quiz :     Puzzles & Brain Teasers : The Hare and the Tortoise