document.write( "Question 499575: 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 #337780 by nerdybill(7384) You can put this solution on YOUR website! 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( "Jim: 1 pool per 30 minutes \n" ); document.write( "Sue: 1 pool per 45 minutes \n" ); document.write( "Tony: 1 pool per 90 minutes (convert 1.5 hours to minutes) \n" ); document.write( ". \n" ); document.write( "Let x = time (minutes) it takes for all three \n" ); document.write( "then \n" ); document.write( "x(1/30 + 1/45 + 1/90) = 1 \n" ); document.write( "multiplying both sides by 90: \n" ); document.write( "x(3 + 2 + 1) = 90 \n" ); document.write( "x(6) = 90 \n" ); document.write( "x = 90/6 \n" ); document.write( "x = 15 minutes \n" ); document.write( " |