Source: Veritas Prep
A race is x miles long. If Henrik has run half as far as Lars, and Lars has run 3/4 of the race, how far have they run collectively, in terms of x?
A. x/4
B. 4x/6
C. x
D. 5x/4
E. 9x/8
The OA is E
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A race is x miles long. If Henrik has run half as far as Lars, and Lars has run 3/4 of the race, how far have they run
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BTGmoderatorLU
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\(H=\dfrac{1}{2}L\)BTGmoderatorLU wrote: ↑Fri Apr 30, 2021 9:51 amSource: Veritas Prep
A race is x miles long. If Henrik has run half as far as Lars, and Lars has run 3/4 of the race, how far have they run collectively, in terms of x?
A. x/4
B. 4x/6
C. x
D. 5x/4
E. 9x/8
The OA is E
\(L=\dfrac{3}{4}x\) where \(x\) is the mile distance
Distance covered by \(H=\dfrac{1}{2}\dfrac{3}{4}x\)
Collective distance, \(H + L = \dfrac{3}{8}x+\dfrac{3}{4}x = \dfrac{3+6}{8}x=\dfrac{9}{8}x\)
Therefore, E
