document.write( "Question 297627: how to solve sam can do a work in 3 days and john can do that work in 5 days,how many days they will take to finish that work if work togather? \n" ); document.write( "

Algebra.Com's Answer #214276 by vleith(2983) $\"\"$ $\"About$

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The way I like to do these is to look at each one's daily rate. Then add their daily rate to see how they can work together.\r
\n" ); document.write( "\n" ); document.write( "So Sam can do 1/3 of the job in a day (so he takes 3 days to do the job alone)
\n" ); document.write( "John can do 1/5 of the job in a day (it take him 5 days to do the whole thing)
\n" ); document.write( "Together, their daily rate is $\"1%2F3+%2B+1%2F5\"$ = $\"5%2F15+%2B+3%2F15\"$ = $\"8%2F15\"$
\n" ); document.write( "So they can do over half the job in a ay
\n" ); document.write( "To do the whole job
\n" ); document.write( " $\"rate%2Atime+=+WorkDone\"$
\n" ); document.write( " $\"%288%2F15%29+%2A+time+=+1\"$ 1 job is a whole job done once
\n" ); document.write( " $\"time+=+15%2F8\"$
\n" ); document.write( "So working together they can do the job in 1 and 7/8's days.\r
\n" ); document.write( "\n" ); document.write( "Make sense now?
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