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1. A board of length L feet is cut into two pieces such that the length of one piece is 1 foot more than twice the length of the other piece. Which of the following is the length, in feet, of the longer piece?
- A. (2L+1)/2
- B. (2L+1)/2
- C. (2L+1)/2
- D. (2L+1)/2
Answer: Option D
Explanation:
Let length of piece A = 2x - 1
length of piece B = x
2x - 1 + x = L
= >3x - 1 = L
= >x = (L + 1)/3
length of piece A = 2[(L + 1)/3] - 1
= (2L + 2 - 3)/3 = (2L - 1)/3
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