document.write( "Question 311401: romano cycles from her house to school at 15 miles per hour. upon arriving, she realizes that it is Saturday and immediately cycles home at 23 miles per hour. if the entire round trip takes her 32 minutes, what is her average speed, in miles per hour, for the entire round trip? \n" ); document.write( "

Algebra.Com's Answer #222752 by mananth(16949) $\"\"$ $\"About$

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Let the distance to school be x miles\r
\n" ); document.write( "\n" ); document.write( "speed to school = 15 mph
\n" ); document.write( "time taken to go to school = x/15
\n" ); document.write( "..
\n" ); document.write( "Similarly time to return from school = x/23\r
\n" ); document.write( "\n" ); document.write( "Total time taken = 32 minutes.= 32/60 hours
\n" ); document.write( "x/15 + x/23 = 32/60\r
\n" ); document.write( "\n" ); document.write( "23x+15x / 15*23 = 32/60
\n" ); document.write( "38x = 32*15*23 /60
\n" ); document.write( "38x=184
\n" ); document.write( "x= 4.84 miles\r
\n" ); document.write( "\n" ); document.write( "UP & down she travels 2*4.84 miles = 9.68\r
\n" ); document.write( "\n" ); document.write( "Total time taken = 32/60 hours\r
\n" ); document.write( "\n" ); document.write( "Average speed = 9.68 / 32/60
\n" ); document.write( "9.68 * 60 /32\r
\n" ); document.write( "\n" ); document.write( "18.15 mph \n" ); document.write( "

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