document.write( "Question 628113: Larry's time to travel 371 miles is 3 hours more than Terrell's time to travel 220 miles. Terrell drove 2 miles per hour faster than Larry. How fast did each one travel? \n" ); document.write( "
Algebra.Com's Answer #395390 by lwsshak3(11628)\"\" \"About 
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Larry's time to travel 371 miles is 3 hours more than Terrell's time to travel 220 miltudent, then, will see your explanation and work of the solver. Most solvers give very detailed explanations.
\n" ); document.write( " (Explain) (Explaies. Terrell drove 2 miles per hour faster than Larry. How fast did each one travel?
\n" ); document.write( "**
\n" ); document.write( "let x=Larry's speed
\n" ); document.write( "x+2=Terrell's speed
\n" ); document.write( "Travel time=distance/speed
\n" ); document.write( "\"371%2Fx-220%2F%28x%2B2%29=3\"
\n" ); document.write( "LCD: x(x+2)
\n" ); document.write( "371(x+2)-220x=3x(x+2)
\n" ); document.write( "371x+742-220x=3x^2+6x
\n" ); document.write( "3x^2-145x-742
\n" ); document.write( "solve by quadratic formula:
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "a=3, b=145, c=-742
\n" ); document.write( "ans:
\n" ); document.write( "x=-14/3 (reject, x>0)
\n" ); document.write( "or
\n" ); document.write( "x=53
\n" ); document.write( "..
\n" ); document.write( "Larry's speed=53 mph
\n" ); document.write( "Terrell's speed=55 mph
\n" ); document.write( "
\n" );