document.write( "Question 874687: A man covers distance of 120 km from town A to Town B at an average speed x km/h. If he increased his average speed by 1 km/h he would saved 30 minutes. What is his average speed? \n" ); document.write( "
Algebra.Com's Answer #527643 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
CONDITION________speed________time_______distance
\n" ); document.write( "Did_______________x____________t_________\"120=xt\"
\n" ); document.write( "If_______________x+1__________t-1/2______\"120=%28x%2B2%29%28t-1%2F2%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Both x and t can be solved. See that a substitution will be possible using the \"did\" equation.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The \"If\" equation,
\n" ); document.write( "\"xt%2B2t-x%2F2-1=120\"
\n" ); document.write( "\"xt%2B2t-x%2F2-1=xt\"
\n" ); document.write( "\"2t-x%2F2-1=0\"
\n" ); document.write( "\"4t-x-2=0\"
\n" ); document.write( "-
\n" ); document.write( "Again substitute using \"t=120%2Fx\".
\n" ); document.write( "\"480%2Fx-x-2=0\"
\n" ); document.write( "\"480-x%5E2-2x=0\"
\n" ); document.write( "\"-x%5E2-2x%2B480=0\"
\n" ); document.write( "\"highlight%28x%5E2%2B2x-480=0%29\".
\n" ); document.write( "-
\n" ); document.write( "Check discriminant. 4+4*480=1924.
\n" ); document.write( "481 is a prime number.
\n" ); document.write( "4(481) is discriminant.
\n" ); document.write( "-
\n" ); document.write( "\"x=%28-2%2Bsqrt%284%2A481%29%29%2F2\"
\n" ); document.write( "\"x=%28-2%2B2sqrt%28481%29%29%2F2\"
\n" ); document.write( "\"highlight%28x=-1%2Bsqrt%28481%29%29\"
\n" ); document.write( "
\n" );