document.write( "Question 68586: Working together on a job patrice by himself can paint four rooms in 10 hours. if he hires april to help they can do the same job together in 6 hours. if he lets april work alone how long will it take her to paint 4 rooms. \n" ); document.write( "

Algebra.Com's Answer #48823 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Working together on a job Patrick by himself can paint four rooms in 10 hours. if he hires April to help they can do the same job together in 6 hours. if he lets April work alone how long will it take her to paint 4 rooms.
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\n" ); document.write( "Let t = time required by April to do it alone: Let the completed job = 1
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\n" ); document.write( " $\"6%2F10+%2B+6%2Ft\"$ = 1
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\n" ); document.write( "Multiply the equation by 10t to get rid of the denominators:
\n" ); document.write( "6t + 10(6) = 10t
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\n" ); document.write( "6t + 60 = 10t
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\n" ); document.write( "6t - 10t = -60
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\n" ); document.write( "-4t = -60
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\n" ); document.write( "t = -60/-4
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\n" ); document.write( "t = +15 hrs for A to paint the 4 rooms alone
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\n" ); document.write( "Check:
\n" ); document.write( " $\"6%2F10+%2B+6%2F15\"$ = 1
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\n" ); document.write( "Did this make sense to you? \n" ); document.write( "

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