document.write( "Question 760731: 12 engineers worked together and completed 30 identical cars in 6 days. Assuming that all engineers worked at the same rate, how many days would it take 18 engineers to build 15 identical cars? \n" ); document.write( "

Algebra.Com's Answer #462852 by ramkikk66(644) $\"\"$ $\"About$

You can put this solution on YOUR website!
Principle 1: Number of cars built is directly proportional to number of engineers. (i.e. more engineers, more cars built)\r
\n" ); document.write( "\n" ); document.write( "Principle 2: Time taken to build cars is inversely proportional to number of engineers (i.e. if you have more engineers, it will take a lesser time to build the same number of cars)\r
\n" ); document.write( "\n" ); document.write( "Principle 3: Number of cars is directly proportional to the time taken. (i.e. if you have more cars to build, it will take longer - if the number of engineers is the same)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now, given that 12 engineers make 30 cars in 6 days.\r
\n" ); document.write( "\n" ); document.write( "i.e. 1 engineer can make 30 cars in $\"6+%2A+12+=+72+\"$ days
\n" ); document.write( "---> because time taken is inversely proportional to number of engineers \r
\n" ); document.write( "\n" ); document.write( "i.e. 1 engineer can make 1 car in $\"72+%2F+30+=+2.4\"$ days\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now if we have to build 15 cars with 18 engineers?\r
\n" ); document.write( "\n" ); document.write( "1 engineer can make 15 cars in $\"2.4+%2A+15+=+36+\"$ days\r
\n" ); document.write( "\n" ); document.write( "So, 18 engineers can make 15 cars in $\"36+%2F+18+=+2+\"$ days\r
\n" ); document.write( "\n" ); document.write( "Ans: 18 engineers can make 15 cars in 2 days.\r
\n" ); document.write( "\n" ); document.write( ":)
\n" ); document.write( " \n" ); document.write( "

\n" );