document.write( "Question 192825: Jan and Kathy drove a total of 534 miles in 12.8 hours. Jan drove the first part of the trip and averaged 55 miles per hour. Kathy drove the second part of the trip and averaged 35 miles per hour. For what length of time did Jan drive? \n" ); document.write( "
Algebra.Com's Answer #144876 by ankor@dixie-net.com(22740)\"\" \"About 
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: Jan and Kathy drove a total of 534 miles in 12.8 hours. Jan drove the first
\n" ); document.write( " part of the trip and averaged 55 miles per hour. Kathy drove the second part
\n" ); document.write( " of the trip and averaged 35 miles per hour. For what length of time did Jan drive?
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\n" ); document.write( "Let t = time driven by J
\n" ); document.write( "then
\n" ); document.write( "(12.8-t) = time driven by K
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\n" ); document.write( "Write a dist equation; dist = speed * time
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\n" ); document.write( "J's dist + K's dist = 534 mi
\n" ); document.write( "55t + 35(12.8-t) = 534
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\n" ); document.write( "55t + 448 - 35t = 534
\n" ); document.write( "55t - 35t = 534 - 448
\n" ); document.write( "20t = 86
\n" ); document.write( "t = \"86%2F20\"
\n" ); document.write( "t = 4.3 hrs, J drove
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\n" ); document.write( "Check solution, find the dist driven by each; K drove 12.8 - 4.3 = 8.5
\n" ); document.write( "55 * 4.3 = 236.5 mi
\n" ); document.write( "35 * 8.5 = 297.5
\n" ); document.write( "----------------
\n" ); document.write( "total dist: 534 \n" ); document.write( "
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