document.write( "Question 1151307: While assembling the sports car, the supervisor observed that it took ten men to assemble 2 sports cars in 3 days. The supervisor added 5 more men to do the job. How many days did it take them to assemble 9 sports cars?
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Algebra.Com's Answer #773004 by ikleyn(52778) $\"\"$ $\"About$

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document.write( "In the first case, there are 10 workers.\r\n" );
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document.write( "The rate of work is    cars per day per worker.\r\n" );
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document.write( "In the second case, you have 10+5 = 15 workers.\r\n" );
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document.write( "The rate of work is    cars per day per worker, \r\n" );
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document.write( "where d is the number of days to complete this job.\r\n" );
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document.write( "    The number of \"d\" is unknown now and should be determined from the solution.\r\n" );
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document.write( "The rate of work is assumed to be the same in both cases.\r\n" );
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document.write( "It gives you this equation (a proportion)\r\n" );
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document.write( "     = .\r\n" );
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document.write( "From this proportion, the product of the extreme terms is equal to the product of interior terms\r\n" );
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document.write( "    2*d*15 = 10*3*9,   or\r\n" );
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document.write( "    2*d*15 = 2*5*3*9.\r\n" );
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document.write( "Canceling the common factors  2, 5 and 3 in both sides, you get\r\n" );
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document.write( "    d = 9   days.      ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "If you want to see many other similar solved problems, look into the lesson\r
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\n" ); document.write( "\n" ); document.write( "It was written specially for you, to make your horizon WIDER.\r
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