Allen and Bernard decide to go visit their friend Chuck. Bernard lives on the road that runs due East of Allen and Chuck lives on the road that runs due North of Allen. Bernard doesn’t know how far it is to Chuck’s house but he does know that their friend Edward lives on the road that runs from Bernard’s house to Chuck’s and it is 1 mile to Edward’s house. Allen doesn’t know how far any of his friend’s houses are from his, but he does know that a stream runs from his house to Edward’s and it intersects the road at a right angle.
Bernard sets out from his house and heads toward Allen’s and a little while later Allen sets out from his house headed toward Bernard’s. When they meet they decide to cut straight through the woods to Chuck’s house crossing over the stream. When Bernard meets Allen he has covered half of distance he will travel to Chuck’s house, and he has gone equal the distance from his house to Edward’s.
When Allen leaves Chuck’s house, he heads straight home. How far did Allen travel to and from Chuck’s house?
All roads and streams and paths through the woods are straight lines.
Question
Prof. Templeton
Allen and Bernard decide to go visit their friend Chuck. Bernard lives on the road that runs due East of Allen and Chuck lives on the road that runs due North of Allen. Bernard doesn’t know how far it is to Chuck’s house but he does know that their friend Edward lives on the road that runs from Bernard’s house to Chuck’s and it is 1 mile to Edward’s house. Allen doesn’t know how far any of his friend’s houses are from his, but he does know that a stream runs from his house to Edward’s and it intersects the road at a right angle.
Bernard sets out from his house and heads toward Allen’s and a little while later Allen sets out from his house headed toward Bernard’s. When they meet they decide to cut straight through the woods to Chuck’s house crossing over the stream. When Bernard meets Allen he has covered half of distance he will travel to Chuck’s house, and he has gone equal the distance from his house to Edward’s.
When Allen leaves Chuck’s house, he heads straight home. How far did Allen travel to and from Chuck’s house?
All roads and streams and paths through the woods are straight lines.
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