document.write( "Question 515160: during the first part of a trip , a canoeist travels 37 miles at a certain speed. the canoeist travels 17 miles on the second part of the trip at a speed 5 mph slower. the total time for the trip is 2 hrs. What was the speed on each part of the trip? \n" ); document.write( "
Algebra.Com's Answer #343787 by lwsshak3(11628)\"\" \"About 
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during the first part of a trip , a canoeist travels 37 miles at a certain speed. the canoeist travels 17 miles on the second part of the trip at a speed 5 mph slower. the total time for the trip is 2 hrs. What was the speed on each part of the trip
\n" ); document.write( "**
\n" ); document.write( "let x=speed during first part of trip
\n" ); document.write( "x-5 =speed during second part of trip
\n" ); document.write( "travel time=distance/speed
\n" ); document.write( "17/(x-5)+37/x=2
\n" ); document.write( "LCD: x(x-5)
\n" ); document.write( "17x+37(x-5)=2x(x-5)
\n" ); document.write( "17x+37x-185=2x^2-10x
\n" ); document.write( "2x^2-64x+185=0
\n" ); document.write( "solve by following quadratic formula
\n" ); document.write( "..
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "..
\n" ); document.write( "a=2, b=-64, c=185
\n" ); document.write( "x=[-(-64)±√(64^2-4*2*185)]/2*2
\n" ); document.write( "x=[64±√(4096-1480)]/4
\n" ); document.write( "x=[64±√2616]/4
\n" ); document.write( "x=(64±51.15)/4
\n" ); document.write( "x=28.79
\n" ); document.write( "or
\n" ); document.write( "x=3.21 (reject, (3.21-5)<0) 2nd part of trip
\n" ); document.write( "ans:
\n" ); document.write( "speed during first part of trip=28.79 mph
\n" ); document.write( "speed during second part of trip=23.79 mph \n" ); document.write( "
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