document.write( "Question 1127014: Adil can do a job alone in 9 days while Babar can do it alone in 15 days Adil works alone on the job for x days after which Babar takes over and finishes the remainder of the job in 10 days find the value of x? \n" ); document.write( "

Algebra.Com's Answer #743358 by josmiceli(19441) $\"\"$ $\"About$

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Adil's rate of working:
\n" ); document.write( "[ 1 job ] / [ 9 days ]
\n" ); document.write( "Babar's rate of working :
\n" ); document.write( "[ 1 job ] / [ 15 days ]
\n" ); document.write( "-----------------------------
\n" ); document.write( "Let $\"+y+\"$ = fraction of job that Adil completes
\n" ); document.write( "in $\"+x+\"$ days
\n" ); document.write( " $\"+1%2F9+=+y%2Fx+\"$
\n" ); document.write( "multiply both sides by $\"+9x+\"$
\n" ); document.write( " $\"+x+=+9y+\"$
\n" ); document.write( " $\"+y+=+%281%2F9%29%2Ax+\"$
\n" ); document.write( "Adil completes $\"+%281%2F9%29%2Ax+\"$ of the job, so $\"+%288%2F9%29%2Ax+\"$
\n" ); document.write( "of the job is left
\n" ); document.write( "----------------------
\n" ); document.write( "Barbar does $\"+%288%2F9%29%2Ax+\"$ of the job in 10 days, so
\n" ); document.write( " $\"+1%2F15+=+%28%288%2F9%29%2Ax%29+%2F+10+\"$
\n" ); document.write( "Multiply both sides by $\"+150+\"$
\n" ); document.write( " $\"+10+=+15%2A%288%2F9%29%2Ax+\"$
\n" ); document.write( " $\"+90+=+120x+\"$
\n" ); document.write( " $\"+x+=+3%2F4+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "Get a 2nd opinion if you can\r
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