document.write( "Question 194118: This morning, my dog Walter broke out of the house and ran directly to the farm up the road at a speed of 12mph. When he arrived at the farm he was scared by the cows so he turned around and ran directly home (by the same route) at a speed of 8mph. Walter spent a total time of one hour running to the farm and back. Find the distance from my house to the farm. \n" ); document.write( "

Algebra.Com's Answer #145698 by nerdybill(7384) $\"\"$ $\"About$

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\n" ); document.write( "Let t = time to get to the farm
\n" ); document.write( "then
\n" ); document.write( "1-t = time to get back to the house
\n" ); document.write( ".
\n" ); document.write( "Applying the distance formula:
\n" ); document.write( "d = rt
\n" ); document.write( "where
\n" ); document.write( "d is distance
\n" ); document.write( "r is rate or speed
\n" ); document.write( "t is time
\n" ); document.write( ".
\n" ); document.write( "12t = 8(1-t)
\n" ); document.write( "12t = 8-8t
\n" ); document.write( "20t = 8
\n" ); document.write( "t = 8/20
\n" ); document.write( "t = 2/5 hour (to run from house to farm)
\n" ); document.write( ".
\n" ); document.write( "Distance then is:
\n" ); document.write( "d = (2/5)12
\n" ); document.write( "d = 24/5 = 4.8 miles (distance from house to farm)
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