document.write( "Question 1164009: Allison drove home at 68 mph, but her brother Austin, who left at the same time, could drive at only 44 mph. When Allison arrived, Austin still had 120 miles to go. How far did Allison drive? \n" ); document.write( "

Algebra.Com's Answer #788301 by greenestamps(13200) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "You have received two perfectly good formal algebraic solutions using

\r\n" );
document.write( "          distance\r\n" );
document.write( "  time = ----------\r\n" );
document.write( "           speed

\n" ); document.write( "When the times are the same, many problems like this can be solved much more easily using this:

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document.write( "          DIFFERENCE IN distances\r\n" );
document.write( "  time = -------------------------\r\n" );
document.write( "           DIFFERENCE IN speeds

\n" ); document.write( "The difference in their speeds was 24mph; the difference in distance traveled was 120 miles.

\n" ); document.write( "Therefore, the time driving was 120/24 = 5 hours.

\n" ); document.write( "So the distance Allison drove was 5*68 = 340 miles.

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