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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document.write( "Please solve thanks! \n" );
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Algebra.Com's Answer #773033 by greenestamps(13198)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The solution method shown by tutor @ikleyn is one of many common methods for solving problems like this. \n" ); document.write( "For me, the quickest way to the answer to this problem is as follows: \n" ); document.write( "(1) In going from 10 men on the job to 15 men on the job, the number of men gets multiplied by 15/10 = 3/2/ Since more men means less time to do the job, that means the time required to do the job gets multiplied by 2/3. \n" ); document.write( "(2) In changing the number of cars from 2 to 9, the amount of time required to do the job gets multiplied by 9/2. \n" ); document.write( "So the 3 days it takes the 10 men to assemble 2 sports cars gets multiplied by 2/3 because of the increased number of workers and by 9/2 because of the increased number of sports cars: \n" ); document.write( " \n" ); document.write( "ANSWER: It take 9 days for the 15 men to assemble 9 sports cars. \n" ); document.write( "-------------------------------------------------------------------- \n" ); document.write( "While that is my personal favorite for a solution method for the problem, here is another common method that is also different than the method shown by tutor @ikleyn. \n" ); document.write( "(1) It takes 10 men 3 days to assemble 2 sports cars. That is 10*3 = 30 man-days to assemble 2 cars. \n" ); document.write( "(2) That means it takes 30/2 = 15 man-days to assemble 1 car. \n" ); document.write( "(3) That means it takes 15*9 = 135 man-days to assemble 9 cars. \n" ); document.write( "(4) And that means the number of days it takes 15 men to assemble 9 cars is 135/15 = 9. \n" ); document.write( " \n" ); document.write( " |