document.write( "Question 694593: David can paint a bedroom in 1.5 hr. Jay can paint the same bedroom in 2.75 hr. How long will it take them working together, to paint the room? \n" ); document.write( "
Algebra.Com's Answer #428041 by Edwin McCravy(20059)\"\" \"About 
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document.write( "David can paint 1 bedroom in 1.5 hr. Therefore David's painting rate is\r\n" );
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document.write( "\"%221_bedroom%22%2F%221.5_hr%22\"\"%22%22=%22%22\"\"1%2F1.5\"\"bedroom%2Fhr\"\"%22%22=%22%22\"\"1%2F1%261%2F2\"\"bedroom%2Fhr\"\"%22%22=%22%22\"\"1%2F%283%2F2%29\"\"bedroom%2Fhr\"\"%22%22=%22%22\"\"1%2Aexpr%282%2F3%29\"\"bedroom%2Fhr\"\"%22%22=%22%22\"\"2%2F3\"\"bedroom%2Fhr\"\r\n" );
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document.write( "Jay can paint 1 bedroom in 2.75 hr. Therefore Jay's painting rate is\r\n" );
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document.write( "\"%221_bedroom%22%2F%222.75_hr%22\"\"%22%22=%22%22\"\"1%2F2.75\"\"bedroom%2Fhr\"\"%22%22=%22%22\"\"2%263%2F4\"\"bedroom%2Fhr\"\"%22%22=%22%22\"\"1%2F%2811%2F4%29\"\"bedroom%2Fhr\"\"%22%22=%22%22\"\"1%2Aexpr%284%2F11%29\"\"bedroom%2Fhr\"\"%22%22=%22%22\"\"4%2F11\"\"bedroom%2Fhr\"\r\n" );
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document.write( "Suppose that together they can paint 1 bedroom in x hr.  Then their combined\r\n" );
document.write( "painting rate is\r\n" );
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document.write( "\"%221_bedroom%22%2F%22x_hr%22\"\"%22%22=%22%22\"\"1%2Fx\"\"bedroom%2Fhr\"\r\n" );
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document.write( "The sum of their painting rates must equal to their combined painting rate.\r\n" );
document.write( "--[Just as in other problems when we find the sum of a boat's rate and the rate of the current]--\r\n" );
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document.write( "          \"2%2F3\"\"bedroom%2Fhr\"\"%22%22%2B%22%22\"\"4%2F11\"\"bedroom%2Fhr\"\"%22%22=%22%22\"\"1%2Fx\"\"bedroom%2Fhr\"\r\n" );
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document.write( "                  \"2%2F3\"\"%22%22%2B%22%22\"\"4%2F11\"\"%22%22=%22%22\"\"1%2Fx\"\r\n" );
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document.write( "Solve that by multiplying through by the LCD of 33x and you get x = \"33%2F34\"hr \r\n" );
document.write( "or about 0.97 hr or about 58 minutes.\r\n" );
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document.write( "Edwin
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