document.write( "Question 38790: The smaller of two pipes takes 5 hours longer to fill a tank. If both pipes are used, the job can be done in 3 1/3 hours. How long will it take each pipe to fill the tank alone? \n" ); document.write( "

Algebra.Com's Answer #24269 by Paul(988) $\"\"$ $\"About$

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The smaller pipe takes x+5
\n" ); document.write( "And the other pipe takes x hours to fill the tank.
\n" ); document.write( "EQUATION:
\n" ); document.write( " $\"1%2Fx%2B1%2F%28x%2B5%29=%281%29%2F%2810%2F3%29\"$
\n" ); document.write( " $\"%28%28x%29%2B%28x%2B5%29%29=%283%28%28x%29%28x%2B5%29%29%29%2F10\"$
\n" ); document.write( " $\"2x%2B5=%283x%5E2%2B15x%29%2F10\"$
\n" ); document.write( " $\"20x%2B50=3x%5E2%2B15x\"$
\n" ); document.write( " $\"3x%5E2-5x-50=0\"$
\n" ); document.write( "Factor you get :
\n" ); document.write( "x=5
\n" ); document.write( "5+5=10
\n" ); document.write( "Hence, one pipe takes 5 hours and other takes 10 hours to fill the tank.
\n" ); document.write( "Paul. \n" ); document.write( "

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