Carcass wrote:
Jonna and Russell meet at a diner that is directly south of Jonna's house and directly west of Russell's house. If the diner is exactly 10 miles from Jonna's house and Russell's house is 2 miles closer to the diner than to Jonna's house, how far apart is Russell's house from the diner?
A. 8
B. 14
C. 16
D. 24
E. 26
From the diagram below:
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Using Pythagoras' theorem: x^2 = 10^2 + (x-2)^2
=> 4x = 104
=> x = 26
Required distance = (x-2) miles = 24 miles
Answer D