document.write( "Question 1162682: Two companies working together can clear a parcel of land in 13 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 #786514 by VFBundy(438)\"\" \"About 
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Rate (per hour) of Company B working alone = \"1%2FB\"
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\n" ); document.write( "Rate (per hour) of Company A working alone = \"1%2F%28B%2B10%29\"
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\n" ); document.write( "Rate (per hour) of both companies working together = \"1%2F13\" = \"1%2FB\" + \"1%2F%28B%2B10%29\"
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\n" ); document.write( "Solve for B:
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\n" ); document.write( "\"1%2F13\" = \"1%2FB\" + \"1%2F%28B%2B10%29\"
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\n" ); document.write( "\"1%2F13\" = \"1%28B%2B10%29%2FB%28B%2B10%29\" + \"1%28B%29%2FB%28B%2B10%29\"
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\n" ); document.write( "\"1%2F13\" = \"%28B%2B10%29%2F%28B%5E2%2B10B%29%29\" + \"B%2F%28B%5E2%2B10B%29\"
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\n" ); document.write( "\"1%2F13\" = \"%28%28B%2B10%29%2BB%29%2F%28B%5E2%2B10B%29\"
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\n" ); document.write( "\"1%2F13\" = \"%282B%2B10%29%2F%28B%5E2%2B10B%29\"
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\n" ); document.write( "\"1%28B%5E2%2B10B%29\" = \"13%282B%2B10%29\"
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\n" ); document.write( "\"B%5E2%2B10B\" = \"26B%2B130\"
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\n" ); document.write( "\"B%5E2-16B-130\" = \"0\"
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\n" ); document.write( "\"B\" = \"8-sqrt%28194%29\" = \"-5.9\"
\n" ); document.write( "\"B\" = \"8%2Bsqrt%28194%29\" = \"21.9\"
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\n" ); document.write( "You can throw out the negative result, since the rate cannot be a negative number. Therefore, you are left with the result of 21.9.
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\n" ); document.write( "It takes Company B 21.9 hours to clear the land working alone.
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