document.write( "Question 328458: During the first part of a trip, a canoeist travels 76 miles at a certain speed. The canoeist travels 2 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 3 hours. What was the speed on each part of the trip?\r
\n" ); document.write( "\n" ); document.write( "(type an integer or a decimal. Round to the nearest hundredth)
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Algebra.Com's Answer #235393 by checkley77(12844)\"\" \"About 
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D=RT
\n" ); document.write( "FOR THE FIRST PART OF THE TRIP;
\n" ); document.write( "76=RT
\n" ); document.write( "T=76/R
\n" ); document.write( "FOR THE SECOND PART OF THE TRIP:
\n" ); document.write( "2=(R-6)T
\n" ); document.write( "T=2/(R-6)
\n" ); document.write( "76/R+2/(R-6)=3
\n" ); document.write( "(76(R-6)+2R)/R(R-6)=3
\n" ); document.write( "(76R-456+2R)/(R^2-6R)=3
\n" ); document.write( "(78R-456)/(R^2-6R)=3 CROSS MULTIPLY.
\n" ); document.write( "78R-456=3(R^2-6R)
\n" ); document.write( "78R-456=3R^2-18R
\n" ); document.write( "3R^2-18R-78R+456=0
\n" ); document.write( "3R^2-96R+456=0
\n" ); document.write( "3(R^2-32R+152)=0
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "R=(32+-SQRT(32^2-4*1*152])/2*1
\n" ); document.write( "R=(32+-SQRT[1,024-608])/2
\n" ); document.write( "R=(32+-SQRT416)/2
\n" ); document.write( "R=(32+-20.396)/2
\n" ); document.write( "R=(32+20.396)/2
\n" ); document.write( "R=52.396/2
\n" ); document.write( "R=26.198 MPH. ANS.
\n" ); document.write( "PROOF:
\n" ); document.write( "76/26.198+2/(26.198-6)=3
\n" ); document.write( "2.9+2/20.198=3
\n" ); document.write( "2.9+.1=3
\n" ); document.write( "3=3
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