document.write( "Question 701905: How far can the members of a bicycling club ride out into the country at a speed of 12 mph and return over the same road at 8 mph if they travel a total of 10 hours? \n" ); document.write( "
Algebra.Com's Answer #432670 by josgarithmetic(39618)![]() ![]() ![]() You can put this solution on YOUR website! This is simply Rate*Time=Distance, for two trips for which both trips are the same Distance. Easiest solution process is to create a table.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let d be the distance ridden out in the country.\r \n" ); document.write( "\n" ); document.write( "Format: RATE--------------Time---------------Distance \n" ); document.write( "Out:____12---------------(?) -----------------d \n" ); document.write( "Return:__8---------------(??) ---------------d\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "How can we fill in the missing 'question marks for time? They'll be expressions. Rate*Time=Distance, so then Time=Distance/Rate.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Format: RATE--------------Time---------------Distance \n" ); document.write( "Out: 12---------------( d/12) ---------------d \n" ); document.write( "Return: 8---------------( d/8) -----------------d\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Total time given for both combined trips was 10 hours.\r \n" ); document.write( "\n" ); document.write( " |