Brain Teasers: Kagome Fruit & Vegetable Puzzle Solutions

A Run Around Green Lake Puzzle Solution:
Tomato runs at 400 yards per minute. In Z minutes, he meets Cabbage going at 600 yards per minute. So the circumference is (400 x Z) + (600 x Z). So what is Z in minutes? We also know that Tomato meets Lettuce in 3 more minutes. This is how far Tomato goes before meeting Lettuce: (400 x Z) + (400 x 3 minutes). Lettuce has travelled this far by the time he meets Tomato: 300(Z + 3 minutes). Since the sum of these two also equals the circumference we can solve for Z by setting these two formulas equal to each other:

400Z + 600Z = 400Z + 400 x 3 + 300 (Z+3)

1000Z = 400Z + 1200 + 300Z + 900

1000Z = 700Z + 2100

300Z = 2100

Z = 7 minutes

Using the first formula: Circumference = 400 x 7 + 600 x 7 = 2800 + 4200 = 7000 yards

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