document.write( "Question 389489: It takes Jonathan 2/3 as long as it takes Juancho to paint a car. If together Jonathan and Juancho take 12 hrs, how long would it take Juancho to do the work alone? \n" ); document.write( "

Algebra.Com's Answer #276008 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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t takes Jonathan 2/3 as long as it takes Juancho to paint a car.
\n" ); document.write( " If together Jonathan and Juancho take 12 hrs, how long would it take Juancho to do the work alone?
\n" ); document.write( ":
\n" ); document.write( "let x = time required by Ju alone
\n" ); document.write( "then
\n" ); document.write( " $\"2%2F3\"$ x = time required by Jo alone
\n" ); document.write( ":
\n" ); document.write( "Let the completed job = 1; (a painted car)
\n" ); document.write( ":
\n" ); document.write( " $\"12%2F%28%282%2F3%29x%29\"$ + $\"12%2Fx\"$ = 1
\n" ); document.write( "multiply by $\"2%2F3\"$ x, results:
\n" ); document.write( "(12) + $\"2%2F3\"$ (12) = $\"2%2F3\"$ x
\n" ); document.write( "12 + 8 = $\"2%2F3\"$ x
\n" ); document.write( "20 = $\"2%2F3\"$ x
\n" ); document.write( "multiply by 3
\n" ); document.write( "3(20) = 2x
\n" ); document.write( "2x = 60
\n" ); document.write( "x = 30 hrs, Ju alone
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution,
\n" ); document.write( " $\"2%2F3\"$ 30 = 20 hrs, Jo alone
\n" ); document.write( " $\"12%2F20\"$ + $\"12%2F30\"$ = 1
\n" ); document.write( ".6 + .4 = 1; confirms our solution \n" ); document.write( "

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