document.write( "Question 1137496: Karin can run 3 miles per hour faster than her sister Kim can walk. If Karin ran 12 miles in the same time it took Kim to walk 8 miles, what is the speed of each sister in this case? \n" ); document.write( "

Algebra.Com's Answer #755397 by greenestamps(13203) $\"\"$ $\"About$

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\n" ); document.write( "Here is a way to set up the problem which is different from the solution from the other tutor.

\n" ); document.write( "Let Kim's speed be x; then Karin's speed is x+3.

\n" ); document.write( "Since the times are the same, the ratio of speeds is the same as the ratio of distances. So

\n" ); document.write( " $\"%28x%2B3%29%2Fx+=+12%2F8+=+3%2F2\"$
\n" ); document.write( " $\"2%28x%2B3%29+=+3x\"$
\n" ); document.write( " $\"2x%2B6+=+3x\"$
\n" ); document.write( " $\"6+=+x\"$

\n" ); document.write( "Kim's speed is x = 6mph; Karin's speed is x+3 = 9mph \n" ); document.write( "

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