document.write( "Question 935746: A pond has two inlet pipes to fill a pond up.One pipe can fill the pond in 10 hours.The second pipe in 12 hours If the first pipe is open for 5 hours and then the second pipe is open ,how long will it take both pipes working together to fill the pond? This is what I did.... t/10 + t/12 =1/2...my question is did I set this equation up right....tks tutors. \n" ); document.write( "
Algebra.Com's Answer #569034 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! --- \n" ); document.write( "fraction of pond filled by first pipe in 5 hours: \n" ); document.write( "r = w/t \n" ); document.write( "r = 1/10 \n" ); document.write( "w = rt \n" ); document.write( "w = (1/10)*5 \n" ); document.write( "w = 1/2 \n" ); document.write( "--- \n" ); document.write( "fraction of pond remaining to be filled by both pipes = 1/2 \n" ); document.write( "--- \n" ); document.write( "both pipes working together to fill 100% of the pond: \n" ); document.write( "r = w/t \n" ); document.write( "rates are additive: \n" ); document.write( "r = 1/10 + 1/12 \n" ); document.write( "t = w/r \n" ); document.write( "t = 1/(1/10 + 1/12) \n" ); document.write( "t = 5.45454545455 hours \n" ); document.write( "--- \n" ); document.write( "both pipes working together to fill 1/2 of the pond: \n" ); document.write( "t/2 = 5.45454545455/2 \n" ); document.write( "t/2 = 2.72727272727 \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "how long will it take both pipes working together to fill the pond = 2.72 hours \n" ); document.write( "--- \n" ); document.write( "Free algebra tutoring live chat: \n" ); document.write( "https://sooeet.com/chat.php?gn=algebra \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations with quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( "--- \n" ); document.write( " |