document.write( "Question 1148730: A pilot takes a trip to visit relatives there at a speed of 100 miles per hour. On the way back home, the pilot travels at 80 miles per hour. If the round trip took nine hours, how far did the pilot travel to visit her relatives? \n" ); document.write( "

Algebra.Com's Answer #770088 by greenestamps(13203) $\"\"$ $\"About$

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\n" ); document.write( "The ratio of the two speeds is 100:80 or 5:4, and the two distances are the same. That means the ratio of the two times is 4:5.

\n" ); document.write( "So let the time going be 4x and the time returning be 5x. The total time was 9 hours, so

\n" ); document.write( " $\"4x%2B5x+=+9\"$
\n" ); document.write( " $\"9x+=+9\"$
\n" ); document.write( " $\"x+=+1\"$

\n" ); document.write( "The time going was 4x = 4 hours; the time returning was 5x = 5 hours.

\n" ); document.write( "So the distance each direction is 4(100) = 5(80) = 400 miles.

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