document.write( "Question 248883: If A can perform a task in 24 hours and B can perform the same task in 40 hours, how long does it take A and B working together? show equation and solve \n" ); document.write( "
Algebra.Com's Answer #181360 by chosenpoint(26)\"\" \"About 
You can put this solution on YOUR website!
This is a common algebraic work problem, and this following method can be used in many different ways, including solving work task problems, and problems involving filling tanks of water, etc. Lets go!
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\n" ); document.write( "\n" ); document.write( "set \"A=24\" and \"B=40\" and use the following work formula:
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\n" ); document.write( "\n" ); document.write( "\"1%2FA+%2B+1%2FB+=+1%2FC\" where C equals the time it will take both A & B working together, so
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\n" ); document.write( "\n" ); document.write( "\"1%2F24+%2B+1%2F40=1%2FC\" substitution of known quantities
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\n" ); document.write( "\n" ); document.write( "\"40%2F960+%2B+24%2F960=1%2FC\" least common denominator LCD
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\n" ); document.write( "\n" ); document.write( "\"64%2F960=1%2FC\" simplification
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\n" ); document.write( "\n" ); document.write( "\"64x=960\" cross multiplication
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\n" ); document.write( "\n" ); document.write( "\"C=15\" solve for C and final answer
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\n" ); document.write( "\n" ); document.write( "so if A and B work together, they will complete the task in 15 hours, which should make sense (ie the 2 people working together should get the task done faster than either single person can)! :)
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