. Dan and Karen, who live 10 miles apart meet at a cafe that is directly north of Dan’s house and directly east of Karen’s house. If the cafe is 2 miles closer to Dan’s house than to Karen’s house, how many miles is the cafe from Karen’s house?
Incorrect OA. what is the source?
Also this should be in quants
Let K represent Karen's house, D represent Dan's house and C represent Cafe. Then the problem can be shown as given in image here.
we need a value of x. Using pyth theorem
\(x^2 + (x-2)^2=10^2\)
=>\(2x^2 -4x -96=0^2\)
Hence x = 8 (since x can not be negative)
The correct Ans is C.
Another simpler approach is to just notice,one of the common right angle triangle is 3:4:5 or 6:8:10
Second one fits exactly in our problem.. since hypotenuse is 10, and difference in 2 other sides is 2.
We can again reach to correct ans C.
Screenshot03 17-Oct-12 01.47.jpg [ 6.09 KiB | Viewed 859 times ]
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