document.write( "Question 497136: \r
\n" );
document.write( "\n" );
document.write( " \r
\n" );
document.write( "\n" );
document.write( " \r
\n" );
document.write( "\n" );
document.write( " Jack and Jill went up the hill at a rate of 8 units per minute. They came tumbling down at a rate of 8 units per second. What was their average rate , in units oer minute, for the round trip?\r
\n" );
document.write( "\n" );
document.write( " \r
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #336685 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Jack and Jill went up the hill at a rate of 8 units per minute. \n" ); document.write( "They came tumbling down at a rate of 8 units per second. \n" ); document.write( " What was their average rate, in units per minute, for the round trip? \n" ); document.write( ": \n" ); document.write( "Find the tumbling down rate in units/min \n" ); document.write( "8*60 = 480 units per minute \n" ); document.write( ": \n" ); document.write( "Let d = the one-way distance \n" ); document.write( "Let a = average units/min for the round trip (2d) \n" ); document.write( ": \n" ); document.write( "Write a time equation; time = dist/rate \n" ); document.write( ": \n" ); document.write( "Up time + tumble down time = total time \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "multiply by 480a, results \n" ); document.write( "60ad + ad = 960d \n" ); document.write( "61ad = 960d \n" ); document.write( "we don't care about d, divide thru by d, to eliminate it. \n" ); document.write( " 61a = 960 \n" ); document.write( "a = \n" ); document.write( "a = 15.738 units/minute average rate \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Confirm this, let the one way dist = 1, find the times \n" ); document.write( " \n" ); document.write( "use decimals here \n" ); document.write( ".125 + .002 = .127, confirms our average speed of 15.738 units/min \n" ); document.write( " |