document.write( "Question 60890: One pipe can fill a tank in 8 minutes and a second pipe can fill it in 12 minutes. If the tank is empty, how long will it take both pipes to fill it?\r
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Algebra.Com's Answer #41943 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! One approach to this kind of problem is to first calculate the rate that each pipe can fill the tank. \n" ); document.write( "If it takes pipe A 8 minutes to fill the tank, then pipe A can fill 1/8 of the tank in 1 minute. \n" ); document.write( "If it takes pipe B 12 minutes to fill the tank, then pipe B can fill 1/12 of the tank in 1 minute. \n" ); document.write( "Working together, pipe A and pipe B can fill (1/8 + 1/12) of the tank in 1 minute. \n" ); document.write( "1/8 + 1/12 = (3+2)/24 = 5/24 of the tank in 1 minute. \n" ); document.write( "5/24 of tank = 1 min. Multiply both sides by the reciprocal (24/5) \n" ); document.write( "1 = 24/5 mins. = 4.8 mins. \n" ); document.write( "The tank can be filled in 4.8 minutes by both pipes working together. \n" ); document.write( " |