document.write( "Question 916692: it took john two hours to paint a certain room. it took his brother roberts three times slower. how long will it take them if they work together? \n" ); document.write( "

Algebra.Com's Answer #556259 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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it took john two hours to paint a certain room.
\n" ); document.write( " it took his brother roberts three times slower
\n" ); document.write( "how long will it take them if they work together?
\n" ); document.write( ":
\n" ); document.write( "If John took two hrs and Robert was 3 times slower, Robert would take 6 hrs
\n" ); document.write( ":
\n" ); document.write( "Let t = time required when working together
\n" ); document.write( "let the completed job = 1 (a painted room)
\n" ); document.write( ":
\n" ); document.write( "Write a shared work equation, each will do a fraction of the job, the two fractions must add up to 1
\n" ); document.write( ":
\n" ); document.write( " $\"t%2F2\"$ + $\"t%2F6\"$ = 1
\n" ); document.write( "multiply the equation by 6, cancel the denominators & you have:
\n" ); document.write( "3t + t = 6
\n" ); document.write( "4t = 6
\n" ); document.write( "t = 6/4
\n" ); document.write( "t = 1.5 hrs working together \n" ); document.write( "

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