document.write( "Question 924458: During the first part of a trip a conoeist travels 22 miles at a certain speed. The canoeist travels 6 miles on the second part of the trip at 5mph slower. The total time for the trip is 3 hours.What is the speed for each part of the trip? \n" ); document.write( "
Algebra.Com's Answer #560852 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+s+\" = the speed in mi/hr fpr
\n" ); document.write( "the 1st part of the trip
\n" ); document.write( "Let \"+t+\" = time in hrs for
\n" ); document.write( "the 1st part of the trip
\n" ); document.write( "---------------------
\n" ); document.write( "(1) \"+22+=+s%2At+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+6+=+%28+s-5+%29%2A%28+3-t+%29+\"
\n" ); document.write( "------------------------
\n" ); document.write( "(2) \"+6+=+3s+-+15+-+s%2At+%2B+5t+\"
\n" ); document.write( "(2) \"+5t+-+s%2At+%2B+3s+=+21+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+s+=+22%2Ft+\"
\n" ); document.write( "-------------------
\n" ); document.write( "(2) \"+5t+-+%2822%2Ft%29%2At+%2B+3%2A%2822%2Ft%29+=+21+\"
\n" ); document.write( "(2) \"+5t+-+22+%2B+66%2Ft+=+21+\"
\n" ); document.write( "(2) \"+5t%5E2+-+22t+%2B+66+=+21t+\"
\n" ); document.write( "(2) \"+5t%5E2+-+43t+%2B+66+=+0+\"
\n" ); document.write( "Use quadratic formula
\n" ); document.write( "\"+t+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+5+\"
\n" ); document.write( "\"+b+=+-43+\"
\n" ); document.write( "\"+c+=+66+\"
\n" ); document.write( "\"+t+=+%28-%28-43%29+%2B-+sqrt%28+%28-43%29%5E2+-+4%2A5%2A66+%29%29+%2F+%282%2A5%29+\"
\n" ); document.write( "\"+t+=+%28+43+%2B-+sqrt%28+1849+-+1320+%29%29+%2F+10+\"
\n" ); document.write( "\"+t+=+%28+43+%2B-+sqrt%28+529+%29%29+%2F+10+\"
\n" ); document.write( "\"+t+=+%28+43+-23+%29+%2F+10+\"
\n" ); document.write( "\"+t+=+2+\"
\n" ); document.write( "and
\n" ); document.write( "\"+3+-+2+=+1+\"
\n" ); document.write( "The speed for the 1st part is:
\n" ); document.write( "(1) \"+s+=+22%2Ft+\"
\n" ); document.write( "(1) \"+s+=+22%2F2+\"
\n" ); document.write( "(1) \"+s+=+11+\" mi/hr
\n" ); document.write( "---------------------
\n" ); document.write( "The speed for the 2nd part is:
\n" ); document.write( "\"+s+-+5+=+6+\" mi/hr
\n" ); document.write( "------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+6+=+%28+11-5+%29%2A%28+3-2+%29+\"
\n" ); document.write( "(2) \"+6+=+6%2A1+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+22+=+s%2At+\"
\n" ); document.write( "(1) \"+22+=+11%2A2+\"
\n" ); document.write( "(1) \"+22+=+22+\"
\n" ); document.write( "OK\r
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