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You are biking to the library.  When you are 75% of the way there, you realize you forgot a book.  So you turn around and head back.  When you are 1/3 of the way back, you realize you don't need the book, so you turn around again and bike 3.2 miles to the library.  How far do you live from the library? Please Explain.

User Kiefer
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1 Answer

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Answer:

Let d be the distance from home to the library.

(3/4)d - (1/4)d + 3.2 = d

(1/2)d + 3.2 = d

d + 6.4 = 2d

d = 6.4 miles

User Joseph Le Brech
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