document.write( "Question 448309: A milk tank can be filled by pip A in 6 hours, by pipe B in 8 hours and by pipe C in 12 hours. how long will it take all three pipes working together to fill the tank? \n" ); document.write( "
Algebra.Com's Answer #853346 by greenestamps(13258) You can put this solution on YOUR website! \n" ); document.write( "Tutor @ikleyn has provided a response showing a solution by the method that is usually taught. \n" ); document.write( "Here is a solution using an alternative method. \n" ); document.write( "Consider the least common multiple of the three given times, which is 24 hours. \n" ); document.write( "In 24 hours... \n" ); document.write( "pipe A could fill the tank 24/6 = 4 times; \n" ); document.write( "pipe B could fill the tank 24/8 = 3 times; and \n" ); document.write( "pipe C could fill the tank 24/12 = 2 times \n" ); document.write( "So in 24 hours the three pipes could fill the tank 4+3+2 = 9 times. \n" ); document.write( "That means the number of hours required for the three pipes together to fill the tank one time is 24/9 = 8/3. \n" ); document.write( "ANSWER: 8/3 hours, or 2 2/3 hours \n" ); document.write( " |