document.write( "Question 1133824: One computer requires 75 minutes to solve a complex math problem. A faster one
\n" ); document.write( "requires 50 minutes for the same problem. How long would it take if both computers
\n" ); document.write( "work together?
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Algebra.Com's Answer #751071 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Add their rates of working to get
\n" ); document.write( "their rate working together
\n" ); document.write( "1st rate:
\n" ); document.write( "[ 1 problem solved ] / [ 75 min ]
\n" ); document.write( "2nd rate:
\n" ); document.write( "[ 1 problem solved ] / [ 50 min ]
\n" ); document.write( "------------------------------------
\n" ); document.write( "Let \"+1%2Ft+\" = their rate working together
\n" ); document.write( "in problems/min
\n" ); document.write( "\"+1%2F75+%2B+1%2F50+=+1%2Ft+\"
\n" ); document.write( "Multiply both sides by \"+150t+\"
\n" ); document.write( "\"+2t+%2B+3t+=+150+\"
\n" ); document.write( "\"+5t+=+150+\"
\n" ); document.write( "\"+t+=+30+\"
\n" ); document.write( "It takes them 30 min working together
\n" ); document.write( "--------------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+1%2F75+%2B+1%2F50+=+1%2F30+\"
\n" ); document.write( "\"+1%2F15+%2B+1%2F10+=+1%2F6+\"
\n" ); document.write( "\"+.06667+%2B+.1+=+.16667+\"
\n" ); document.write( "\"+.16667+=+.16667+\"
\n" ); document.write( "OK
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