document.write( "Question 598786: Mike can paint a room in 14 hours Bob could paint the same room in 10 hours. If they work together how long would it take them to complete job. \n" ); document.write( "

Algebra.Com's Answer #378705 by nerdybill(7384) $\"\"$ $\"About$

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Mike can paint a room in 14 hours Bob could paint the same room in 10 hours. If they work together how long would it take them to complete job.
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\n" ); document.write( "Let x = time (hours) it takes for both
\n" ); document.write( "then
\n" ); document.write( "x(1/14 + 1/10) = 1
\n" ); document.write( "multiplying both sides by 140 (common denominator):
\n" ); document.write( "x(10 + 14) = 140
\n" ); document.write( "x(24) = 140
\n" ); document.write( "x = 140/24
\n" ); document.write( "x = 5.833 hours
\n" ); document.write( "or
\n" ); document.write( "x = 5 hours and 50 minutes
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