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)\"\" \"About 
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\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
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