document.write( "Question 985198: peter can finish an accounting work in 8 hours. david can finish the same work in 6 hours. After 2 hours of working together, peter left david for lunch and david finished the job. how long does it take david to finish the job? \n" ); document.write( "

Algebra.Com's Answer #606016 by srinivas.g(540) $\"\"$ $\"About$

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Peter can finish an accounting work in 8 hours..
\n" ); document.write( "let total work be 1 unit
\n" ); document.write( "In 1 Hour, amount of work done by peter = 1/8
\n" ); document.write( "david can finish the same work in 6 hours
\n" ); document.write( "In 1 Hour, amount of work done by David = 1/6\r
\n" ); document.write( "\n" ); document.write( "In 1 Hour, amount of work done by both peter and david together = $\"%281%2F8%29%2B%281%2F6%29\"$
\n" ); document.write( "= $\"%286%2B8%29%2F48\"$
\n" ); document.write( "= $\"14%2F48\"$
\n" ); document.write( "= $\"7%2F24\"$
\n" ); document.write( "In 2 hours, amount of work done by both together = $\"2%2A%287%2F24%29\"$
\n" ); document.write( " = $\"7%2F12\"$
\n" ); document.write( "after 2 hours , peter left
\n" ); document.write( "amount of work remaining = $\"1-%287%2F12%29\"$
\n" ); document.write( " = $\"+5%2F12\"$
\n" ); document.write( "this remaining work completed by David alone\r
\n" ); document.write( "\n" ); document.write( "David finish total work alone in 8 hours
\n" ); document.write( " david finish $\"5%2F12\"$ of the work in = $\"%285%2F12%29%2A8\"$
\n" ); document.write( " = $\"10%2F3\"$
\n" ); document.write( " =3.33 Hours
\n" ); document.write( " = 3 hours +0.33 hour
\n" ); document.write( " = 3 hours+0.33*60 min
\n" ); document.write( " = 3 hours 20 minutes
\n" ); document.write( "David finish the remaining work in 3 hours 20 min \r
\n" ); document.write( "
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