document.write( "Question 1162729: Two companies working together can clear a parcel of land in 15 hours. Working alone, it would take Company A 10 hours longer to clear the land than it would Company B. How long would it take Company B to clear the parcel of land alone? (Round your answer to the nearest tenth.) \n" ); document.write( "

Algebra.Com's Answer #786568 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Two companies working together can clear a parcel of land in 15 hours. Working alone, it would take Company A 10 hours longer
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document.write( "Let x be the time for company B; then the time for company A is x+10.\r\n" );
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document.write( "The setup equation is\r\n" );
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document.write( "     +  = \r\n" );
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document.write( "saying that the combined rate of work of the two companies is    of the job per hour.\r\n" );
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document.write( "To solve the equation, multiply both sides by 15x*(x+10).  You will get\r\n" );
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document.write( "    15*(x+10) + 15x = x*(x+10).\r\n" );
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document.write( "Simplify it step by step\r\n" );
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document.write( "    15x + 150 + 15x = x^2 + 10x\r\n" );
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document.write( "    30x + 150 = x^2 + 10x\r\n" );
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document.write( "    x^2 - 20x - 150 = 0\r\n" );
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document.write( "Use the quadratic formula\r\n" );
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document.write( "     =  =  =  = .\r\n" );
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document.write( "Of the two roots, only positive value x=  =  25.811 hours is the meaningfull solution.\r\n" );
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document.write( "ANSWER.  25.811 hours for company B  and  25.811+10 = 35.811 hours for company A.\r\n" );
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document.write( "CHECK.   Check the combined rate of work   +  = 0.0666667 hours.   = 0.0666667 hours.\r\n" );
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document.write( "         ! Precisely/accurately correct !\r\n" );
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