document.write( "Question 1165874: How far can a man drive into the country if he drives out at 40 miles per hour, returns over the same road at 30 miles per hour, and spends 8 hours away from home, including a 1-hour stop for lunch? \n" ); document.write( "

Algebra.Com's Answer #790338 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x\"$ = miles driven into the country = miles driven in the return trip
\n" ); document.write( " $\"x%2F40\"$ = hours driving into the country
\n" ); document.write( " $\"x%2F30\"$ = hours spent driving back from the country to the man's home
\n" ); document.write( " $\"1\"$ hours spent not driving, included in the $\"8-hour\"$ trip
\n" ); document.write( " $\"x%2F40%2Bx%2F30%2B1=8\"$
\n" ); document.write( "Multiplying each side of the equal sign times $\"120\"$ , we get
\n" ); document.write( " $\"120%28x%2F40%2Bx%2F30%2B1%29=120%2A8\"$
\n" ); document.write( " $\"120%28x%2F40%29%2B120%28x%2F30%29%2B120%2A1=960\"$
\n" ); document.write( " $\"3x%2B4x%2B120=960\"$
\n" ); document.write( " $\"7x%2B120=960\"$
\n" ); document.write( " $\"7x%2B120-120=960-120\"$
\n" ); document.write( " $\"7x=840\"$
\n" ); document.write( " $\"x=840%2F7\"$
\n" ); document.write( " $\"highlight%28x=120%29\"$ \n" ); document.write( "

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