document.write( "Question 612803: 8 boys and 12 girls can finish the work in 10 days, while 6 boys and 8 girls can finish it in 14 days. Find the time taken by 1 boy alone and 1 girl alone to finish the work. \n" ); document.write( "

Algebra.Com's Answer #385759 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi, 
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document.write( "8 boys and 12 girls can finish the work in 10 days, while 6 boys and 8 girls can finish it in 14 days
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document.write( "Note: work PER Day KEY
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document.write( "Let x and y represent work done per day by boy and girl respectively:
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document.write( " 8x + 12y = 1/10     
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document.write( " 6x  + 8y = 1/14    |multiplying thru by -3/2 to  eliminate the y variable\r
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document.write( " 8x + 12y = 1/10     
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document.write( "-9x  -12y = -3/28    |result of multiplying thru by -3/2 to  eliminate the y variable
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document.write( "     x = 1/140  and y = 1/280, work PER Day by each
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document.write( "time taken by 1 boy alonedays and 1 girl alonedays to finish the work. \n" );
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