document.write( "Question 955114: Jack can wash dishes in 30 minutes and Jill can wash them in 25 minutes. After Jack has been working for 10 minutes, Jill begins to help him. How long will it take both to finish the dishes? \n" ); document.write( "
Algebra.Com's Answer #583422 by josmiceli(19441)\"\" \"About 
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Jack's rate is:
\n" ); document.write( "\"+1%2F30+\" dishes/minutes
\n" ); document.write( "\"+%28+1%2F30+%29%2A10+=+1%2F3+\" of the dishes
\n" ); document.write( "Jack cleans 1/3 of the dishes in \"+30+\" min
\n" ); document.write( "That means there is \"+2%2F3+\" of the dishes remaining
\n" ); document.write( "--------------------------------------
\n" ); document.write( "Add their rates to find time \"+t+\" in minutes to
\n" ); document.write( "clean the remaining \"+2%2F3+\" of the dishes
\n" ); document.write( "\"+1%2F30+%2B+1%2F25+=+%28%282%2F3%29%29+%2F+t+\"
\n" ); document.write( "Multiply both sides by \"+150t+\"
\n" ); document.write( "\"+5t+%2B+6t+=+100+\"
\n" ); document.write( "\"+11t+=+100+\"
\n" ); document.write( "\"+t+=+9.091+\"
\n" ); document.write( "It will take them 9.091 min
\n" ); document.write( "\"+1%2F30+%2B+1%2F25+=+%28%282%2F3%29%29+%2F+%28%28+100%2F11%29%29+\"
\n" ); document.write( "\"+1%2F30+%2B+1%2F25+=+22%2F300+\"
\n" ); document.write( "Multiply both sides by \"+300+\"
\n" ); document.write( "\"+10+%2B+12+=+22+\"
\n" ); document.write( "\"+22+=+22+\"
\n" ); document.write( "OK
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