document.write( "Question 534037: if 6 workers can build 4 cars in two days then how many days would it take 8 workers to build 6 cars? please show workings \n" ); document.write( "

Algebra.Com's Answer #351236 by oberobic(2304) $\"\"$ $\"About$

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If the crew can build 4 cars in two days, then the crew can build 2 cars in one day.
\n" ); document.write( "The crew has 6 workers, so each worker can build 1/6*2 cars per day = 2/6 = 1/3.
\n" ); document.write( "Each worker can build 1/3 of a car per day.
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\n" ); document.write( "To build 6 cars, a single worker would need 18 days.
\n" ); document.write( "1/3*x = 6
\n" ); document.write( "x = 18
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\n" ); document.write( "But the crew is not one worker it is 8 workers.
\n" ); document.write( "So each worker can do 1/8 of the work.
\n" ); document.write( "18/8 = 9/4 = 2 1/4 days
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\n" ); document.write( "Another way to look at this problem is show that a 8 person team can build 8/3 car per day.
\n" ); document.write( "8/3*x = 6 cars
\n" ); document.write( "8x = 18
\n" ); document.write( "x = 18/8 = 9/4 = 2 1/4 days
\n" ); document.write( ".
\n" ); document.write( "This answer makes sense because we would expect the 6 workers to do the job in 3 days.
\n" ); document.write( "The two additional workers should contribute something.
\n" ); document.write( ".
\n" ); document.write( "Answer: 8 workers can build 9 cars in 2 1/4 days.
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