document.write( "Question 198831This question is from textbook
\n" ); document.write( ": Esther drove to work in the morning at an average speed of 45mph. She returned home in the evening along the same and averaged 30mph. If Esther spent a total of one hour commuting to and from work, how many miles did Esther drive to work in the morning? \n" ); document.write( "
Algebra.Com's Answer #149322 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "
\n" ); document.write( "Going Work in the morning:
\n" ); document.write( "\"Speed=S%5BW%5D=45mph\" & \"time=t\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Going home:
\n" ); document.write( "\"Speed=S%5BH%5D=30mph\" & \"time=%281hr-t%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Distance Formula : D = Speed x time\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"D%5BW%5D=S%5BW%5Dt\"
\n" ); document.write( "\"D%5BH%5D=S%5BH%5D%281-t%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Since Distance is the same, we can equate the two:
\n" ); document.write( "\"D%5BW%5D=D%5BH%5D\"
\n" ); document.write( "\"S%5BW%5Dt=S%5BH%5D%281-t%29\"
\n" ); document.write( "\"%2845%29%28t%29=%2830%29%281-t%29\"
\n" ); document.write( "\"45t=30-30t\" ----> \"45t%2B30t=30\" ---> \"75t=30\" ---> \"cross%2875%29t%2Fcross%2875%29=cross%2830%290.40%2Fcross%2875%29\"}
\n" ); document.write( "\"red%28t=0.40hr%29\" x \"%2860min%2F1cross%28hr%29%29\" = \"red%2824mins%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the Distance, \"D%5BW%5D=S%5BW%5Dt=%2845%29%280.40%29=red%2818miles%29\",( Answer )\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "To check, the Distance going home should be the same.
\n" ); document.write( "\"D%5BH%5D=S%5BH%5D%281-t%29\"
\n" ); document.write( "\"D%5BH%5D=%2830%29%281-0.40%29=%2830%29highlight%280.60%29=red%2818miles%29\", oks!\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Total time spent driving:
\n" ); document.write( "time(Work) + time(Home) = 1 hour
\n" ); document.write( "\"0.40%2Bhighlight%280.60%29=1hr\"
\n" ); document.write( "\"1hr=1hr\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
\n" ); document.write( "
\n" );