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Bunuel
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HR = 3RS = 3x -> Let x be RS distance
MR = 4 MH = 4y -> Let y be MH distance

We also know that HR = HM+MR=y+4y=5y=3x--> x=5y/3

The question is asking MS/HS = (MR+RS)/(MH+MR+RS)=(4y+x)/(y+4y+x)=(4y+x)/(5y+x)

Subtitute x=5y/3 into the above equation we have MS/HS=17/20 -> Chose D
Bunuel
Along a straight coastal road, four stops, Harbor, Maple, Ridge, and Summit, appear in that order. Ridge is 3 times as far from Harbor as it is from Summit. Maple is 4 times as far from Ridge as it is from Harbor. What fraction of the distance from Harbor to Summit is the distance from Maple to Summit?

A. 3/20
B. 1/4
C. 2/5
D. 17/20
E. 20/17


 


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Whenever points lie on a line:

Put one point at 0.
Express all other distances using a single variable.
Translate each statement directly into an equation.

Here:

HR=3RS ⇒ let RS=x, so HS=4x.
MR=4MH ⇒ 3x−M=4M, giving M=3/5x
then compute 17/20
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