document.write( "Question 292469: A boy standing on the shore of a lake 1 mile wide wants to go to the store 3 miles down the shore on the opposite side of the lake. If he swims at 2 miles per hour, and walks at 4 miles per hour, is it quicker for him to swim directly across the lake and then walk to the store, or is it quicker for him to swim directly to the store? Prove this mathematically. \n" ); document.write( "
Algebra.Com's Answer #211237 by richwmiller(17219)\"\" \"About 
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walk 3 and swim 1
\n" ); document.write( "4*w=3
\n" ); document.write( "w=3/4
\n" ); document.write( "2*s=1
\n" ); document.write( "s=2/4
\n" ); document.write( "s+w=5/4
\n" ); document.write( "swim diagonal
\n" ); document.write( "1^2+3^2=d^2
\n" ); document.write( "1+9=d^2
\n" ); document.write( "10=d^2
\n" ); document.write( "sqrt(10)=d\r
\n" ); document.write( "\n" ); document.write( "3.16=d
\n" ); document.write( "2*s=3.16
\n" ); document.write( "s=1.58 hours
\n" ); document.write( "Faster and safer to walk first.
\n" ); document.write( ".\r
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