document.write( "Question 924628: A pipe is draining water from a tank. After 5 minutes there are 300 gallons of water in the tank. After 10 minutes there are 260 gallons of water in the tank. How long will it take for the tank to be empty? \n" ); document.write( "
Algebra.Com's Answer #561005 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! time differential between the first and second measurement: \n" ); document.write( "dt = 10 - 5 = 5 minutes \n" ); document.write( "--- \n" ); document.write( "volume differential between the first and second measurement: \n" ); document.write( "dv = 260 - 300 = -40 gallons \n" ); document.write( "--- \n" ); document.write( "drain rate: \n" ); document.write( "r = dv/dt \n" ); document.write( "r = -(-40)/5 = 8 gal/min \n" ); document.write( "--- \n" ); document.write( "at the first measurement the drain had been open 5 minutes ... \n" ); document.write( "how much water was drained in that time? \n" ); document.write( "r = v/t \n" ); document.write( "v = rt \n" ); document.write( "v = 8*5 \n" ); document.write( "v = 40 \n" ); document.write( "--- \n" ); document.write( "the tank's initial water volume was: 300 + 40 = 340 \n" ); document.write( "--- \n" ); document.write( "time to empty the tank: \n" ); document.write( "r = v/t \n" ); document.write( "t = v/r \n" ); document.write( "t = 340/8 \n" ); document.write( "t = 42.5 minutes \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, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Convert fractions, decimals, and percents: \n" ); document.write( "https://sooeet.com/math/fraction-decimal-percent.php \n" ); document.write( "--- \n" ); document.write( "Calculate and graph the linear regression of any data set: \n" ); document.write( "https://sooeet.com/math/linear-regression.php \n" ); document.write( " |