document.write( "Question 1026000: Miguel walked 10 km into the country. He returned walking 3 km/h slower. The total time for the round trip was 7 h. How fast did he walk on each part of the trip? \n" ); document.write( "
Algebra.Com's Answer #641299 by josmiceli(19441)\"\" \"About 
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Let \"+s+\" = his speed walking into country in km/hr
\n" ); document.write( "Let \"+t+\" = his time walking into country in hrs
\n" ); document.write( "\"+s+-+3+\" = his speed returning in km/hr
\n" ); document.write( "\"+7+-+t+\" = his time returning in hrs
\n" ); document.write( "------------------------------------
\n" ); document.write( "His equation for walking into country:
\n" ); document.write( "(1) \"+10+=+s%2At+\"
\n" ); document.write( "His equation for returning from country
\n" ); document.write( "(2) \"+10+=+%28+s+-+3+%29%2A%28+7+-+t+%29+\"
\n" ); document.write( "-----------------------------------
\n" ); document.write( "(1) \"+t+=+10%2Fs+\"
\n" ); document.write( "(2) \"+10+=+7s+-+21+-+s%2At+%2B+3t+\"
\n" ); document.write( "(2) \"+t%2A%28+3+-+s+%29+%2B+7s+=+31+\"
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"%2810%2Fs%29%2A%28+3+-+s+%29+%2B+7s+=+31+\"
\n" ); document.write( "(2) \"+10%2A%28+3+-+s+%29+%2B+7s%5E2+=+31s+\"
\n" ); document.write( "(2) \"+30+-+10s+%2B+7s%5E2+-+31s+=+0+\"
\n" ); document.write( "(2) \"+7s%5E2+-+41s+%2B+30+=+0+\"
\n" ); document.write( "use the quadratic formula
\n" ); document.write( "\"+s+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+7+\"
\n" ); document.write( "\"+b+=+-41+\"
\n" ); document.write( "\"+c+=+30+\"
\n" ); document.write( "\"+s+=+%28+-%28-41%29+%2B-+sqrt%28%28-41%29%5E2+-+4%2A7%2A30+%29%29+%2F+%282%2A7%29+\"
\n" ); document.write( "\"+s+=+%28+41+%2B-+sqrt%28+1681+-+840+%29%29+%2F+14+\"
\n" ); document.write( "\"+s+=+%28+41+%2B-+sqrt%28+841%29%29+%2F+14+\"
\n" ); document.write( "\"+s+=+%28+41+%2B+29%29+%2F+14+\"
\n" ); document.write( "\"+s+=+70%2F14+\"
\n" ); document.write( "\"+s+=+5+\"
\n" ); document.write( "and
\n" ); document.write( "\"+s+=+%28+41+-+29%29+%2F+14+\"
\n" ); document.write( "\"+s+=+12%2F14+\"
\n" ); document.write( "\"+s+=+6%2F7+\"
\n" ); document.write( "----------------
\n" ); document.write( "I can't subtract \"+3+\" from \"+6%2F7+\",
\n" ); document.write( "so \"+s+=+5+\" must be the answer
\n" ); document.write( "\"+s+-+3+=+2+\"
\n" ); document.write( "---------------
\n" ); document.write( "his speed walking into country was 5 km/hr
\n" ); document.write( "his speed returning was 2 km/hr
\n" ); document.write( "----------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+10+=+s%2At+\"
\n" ); document.write( "(1) \"+10+=+5%2At+\"
\n" ); document.write( "(1) \"+t+=+2+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+10+=+%28+5+-+3+%29%2A%28+7+-+t+%29+\"
\n" ); document.write( "(2) \"+10+=+2%2A%28+7+-+t+%29+\"
\n" ); document.write( "(2) \"+10+=+14+-+2t+\"
\n" ); document.write( "(2) \"+2t+=+4+\"
\n" ); document.write( "(2) \"+t+=+2+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );