document.write( "Question 1026312: at first an athlete jogs at 5 miles per hour and then jogs at 6 miles per hour, traveling 9 miles in 1.6 hours. How long does the athlete jog at each speed? (T represents the amount of time the athlete jogs at 5 mph. Then 1.6 -t represents the amount of time the athlete jogs at 6 mph)\r
\n" ); document.write( "\n" ); document.write( "The athlete jogged ( ) hour(s) at a speed of 5 miles per hour and ( )hour(s) at a speed of 6 miles per hour. (type integers or decimals) \n" ); document.write( "
Algebra.Com's Answer #641955 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"+d+=+r%2At+\"
\n" ); document.write( "\"+t+=+d%2Fr+\"
\n" ); document.write( "------------
\n" ); document.write( "Let \"+d+\" = distance in miles traveled at 5 mi/hr
\n" ); document.write( "\"+9+-+d+\" = distance in miles traveled at 6 mi/hr
\n" ); document.write( "Let \"+t+\" = time in hrs spent traveling at 5 mi/hr
\n" ); document.write( "\"+1.6+-+t+\" = time in hrs spent traveling at 6 mi/hr
\n" ); document.write( "-------------------------------------------
\n" ); document.write( "Equation for traveling at 5 mi/hr
\n" ); document.write( "(1) \"+t+=+d%2F5+\"
\n" ); document.write( "Equation for traveling at 6 mi/hr
\n" ); document.write( "(2) \"+1.6+-+t+=+%28+9+-+d+%29+%2F+6+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "(2) \"+6%2A%28+1.6+-+t+%29+=+9+-+d+\"
\n" ); document.write( "(2) \"+9.6+-+6t+=+9+-+d+\"
\n" ); document.write( "(2) \"+6t+-+d+=+.6+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+d+=+5t+\"
\n" ); document.write( "Plug this into (2)
\n" ); document.write( "(2) \"+6t+-+5t+=+.6+\"
\n" ); document.write( "(2) \"+t+=+.6+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+d+=+5%2A.6+\"
\n" ); document.write( "(1) \"+d+=+3+\"
\n" ); document.write( "and
\n" ); document.write( "\"+1.6+-+t+=+1.6+-+.6+\"
\n" ); document.write( "\"+1.6+-+t+=+1+\"
\n" ); document.write( "At 5 mi/hr, athelete jogged for .6 hrs
\n" ); document.write( "At 6 mi/hr athelete jogged for 1 hr
\n" ); document.write( "-------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+t+=+d%2F5+\"
\n" ); document.write( "(1) \"+.6+=+3%2F5+\"
\n" ); document.write( "(1) \"+3+=+3+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+1.6+-+t+=+%28+9+-+d+%29+%2F+6+\"
\n" ); document.write( "(2) \"+1.6+-.6+=+%28+9+-+3+%29+%2F+6+\"
\n" ); document.write( "(2) \"+1+=+6%2F6+\"
\n" ); document.write( "(2) \"+1+=+1+\"
\n" ); document.write( "OK \n" ); document.write( "
\n" );