document.write( "Question 166862: Jim can fill a pool carrying buckets 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 #122924 by ptaylor(2198) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let's deal in minutes\r
\n" ); document.write( "\n" ); document.write( "Let x=amount of time it takes all three working together to fill the pool
\n" ); document.write( "Jim fills at the rate of 1/30 pool per min
\n" ); document.write( "Sue fills at the rate of 1/45 pool per min
\n" ); document.write( "Tony fills at the rate of 1/90 pool per min\r
\n" ); document.write( "\n" ); document.write( "Together they fill at the rate of 1/30 + 1/45 + 1/90=
\n" ); document.write( "3/90 + 2/90 + 1/90=6/90 =1/15 pool per min, so our equation to solve is:
\n" ); document.write( "(1/15)x=1 (1 pool that is) multiply each term by 15
\n" ); document.write( "x=15 min-------------------- time it takes all three working together \r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "Jim: (1/30)*15=1/2
\n" ); document.write( "Sue: (1/45)*15=1/3
\n" ); document.write( "Tony (1/90)*15=1/6
\n" ); document.write( "1/2 +1/3 +1/6 =3/6 + 2/6 + 1/6=6/6
\n" ); document.write( "1=1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( "

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