document.write( "Question 1194386: Working together, Jenny and Natalie can assemble a desk in 42/13 hours. Working alone Jenny could have done it in 7 hours. How long would it take Natalie working
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Algebra.Com's Answer #826579 by greenestamps(13203) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "You should understand the formal algebraic solutions shown by the other tutors and be able to use them to solve similar problems.

\n" ); document.write( "But if you encounter this kind of problem often (e.g., you are a student on a school math team), you can use this standard shortcut:

\n" ); document.write( "If the times required for two workers to do a job alone are a and b, then the time required for them to do the job working together is (ab)/(a+b).

\n" ); document.write( "In this problem we know the number of hours for one of the workers working alone is 7 and the number of hours for the two working together is 42/13, so

\n" ); document.write( " $\"%287x%2F%287%2Bx%29%29=42%2F13\"$
\n" ); document.write( " $\"42%287%2Bx%29=13%287x%29\"$
\n" ); document.write( " $\"6%287%2Bx%29=13x\"$
\n" ); document.write( " $\"42%2B6x=13x\"$
\n" ); document.write( " $\"7x=42\"$
\n" ); document.write( " $\"x=6\"$

\n" ); document.write( "ANSWER: Natalie working alone would take 6 hours to do the job.

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