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Bunuel
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Towns A and C are connected by a straight highway which is 60 miles 26 Jan 2017, 06:52
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74% (01:52) correct 26% (02:27) wrong based on 166 sessions

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Towns A and C are connected by a straight highway which is 60 miles long. The straight line distance between town A and town B is 50 miles, and the straight line distance from town B to town C is 50 miles. How many miles is it from town B to the point on the highway connecting town A and C which is closest to town B?

A. 30
B. 40
C. 50
D. \(30\sqrt 2\)
E. 60
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B
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mohshu
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Towns A and C are connected by a straight highway which is 60 miles 26 Jan 2017, 08:01
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points A,B and C form isosceles triangle,, with AB=BC=50

drop a perpendicular from point B to opposite side..the ans is the length of this perpendicula
ans B... 40
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Towns A and C are connected by a straight highway which is 60 miles 26 Jan 2017, 08:05
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I got B. 40
It's a isosceles triangle and the distance from B to AC is: root(50^2 - 30^2) = root(50-30)(50+30) = root(1600)= 40
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Towns A and C are connected by a straight highway which is 60 miles 02 Feb 2022, 08:44
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Hello from the GMAT Club BumpBot!

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