document.write( "Question 388465: It takes Jonathan two thirds as long as it takes Juancho to paint a car. If together Jonathan and Juancho take 12 hours, how long would it take Juancho to do the work alone? \n" ); document.write( "

Algebra.Com's Answer #274775 by nerdybill(7384) $\"\"$ $\"About$

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It takes Jonathan two thirds as long as it takes Juancho to paint a car. If together Jonathan and Juancho take 12 hours, how long would it take Juancho to do the work alone?
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\n" ); document.write( "Let J = time (hrs) it takes Juancho working alone
\n" ); document.write( "then
\n" ); document.write( "(2/3)J = time (hrs) for Jonathan
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\n" ); document.write( "12(1/J + 1/(2J/3)) = 1
\n" ); document.write( "multiplying both sides by 3:
\n" ); document.write( "12(3/J + 1/2J) = 3
\n" ); document.write( "multiplying both sides by 2J:
\n" ); document.write( "12(6 + 1) = 6J
\n" ); document.write( "12(7) = 6J
\n" ); document.write( "[12(7)]/6 = J
\n" ); document.write( "2(7) = J
\n" ); document.write( "14 hours = J \r
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