document.write( "Question 112660: Jim can fill a pool carrying bucks of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together? \n" ); document.write( "
Algebra.Com's Answer #82134 by chitra(359)\"\" \"About 
You can put this solution on YOUR website!
Jim can fill the pool in 30 minutes \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So in one minute he can fill \"1%2F30\" of the tank\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Sue can fill the same pool in 45 minutes.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So in one minute she can fill \"1%2F45\" of the tank\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Tony can fill the pool in 90 minutes.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So in one minute he can fill \"1%2F90\" of the tank\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "so the time taken by all of them to fill the same pool is given by:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%281%2F30%29+%2B+%281%2F45%29+%2B+%281%2F90%29\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%283+%2B+2+%2B+1%29%2F90\" taking LCM we get this:\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%286%2F90%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "==> \"%281%2F15%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "so taking reciprocal we get the time taken by all the three to fill the tank\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "==> they take 15 minutes in total to fill the tank.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hence the solution.
\n" ); document.write( "
\n" );