document.write( "Question 446848: a new machine can make 10,000 aluminum cans three times faster than an older machine. with both machines working, 10,000 cans be made in 9h. how long would it take the new machine, working alone, to make the 10,000 cans? \n" ); document.write( "

Algebra.Com's Answer #853348 by MathTherapy(10588) $\"\"$ $\"About$

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document.write( "a new machine can make 10,000 aluminum cans three times faster than an older machine.  with both machines working,\r\n" );
document.write( "10,000 cans be made in 9h. how long would it take the new machine, working alone, to make the 10,000 cans?\r\n" );
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document.write( "More LIKELY/Chances are, \"three times faster.......\" should actually read,\"three times as fast......\"\r\n" );
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document.write( "If this is so, then:\r\n" );
document.write( "Let time new machine takes to complete the job (make 10,000 aluminum cans), be T\r\n" );
document.write( "Then, time old machine takes to complete the job (make 10,000 aluminum cans), is 3T\r\n" );
document.write( "In 1 hour then, and working ALONE, new and old machines can do , and  of job, respectively\r\n" );
document.write( "Since both, working together, can do the job in 9 hours, we then get: \r\n" );
document.write( "                                                                        9 + 3 = T -- Multiplying by LCD, 9T\r\n" );
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document.write( "Time both take, working together, to complete the job (make 10,000 aluminum cans) = 12 hours

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