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 #569035 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! THE ANSWER IS \"YES\" YOU HAVE ARRIVED AT THE CORRECT EQUATION TO SOLVE BUT I'M NOT SURE WHAT YOU RATIONALE WAS. :) \r \n" ); document.write( "\n" ); document.write( "Let t=amount of time it takes both pipes to finish filling the pond \n" ); document.write( "First pipe fills at the rate of 1/10 of the pond per hour \n" ); document.write( "Second pipe fills at the rate of 1/12 of the pond per hour \n" ); document.write( "After 5 hours, first pipe fills (1/10)*5=5/10 = 1/2 of the pond leaving 1/2 of the pond yet to be filled.\r \n" ); document.write( "\n" ); document.write( "So both pipes working together fills at the rate of 1/10 + 1/12=6/60+5/60=11/60 of the pond per hour.\r \n" ); document.write( "\n" ); document.write( "Our equation to solve then is: \n" ); document.write( "(11/60)*t=1/2 \n" ); document.write( "Or we can write the equation this way: \n" ); document.write( "t/10 + t/12 = 1/2 which is exactly what you have.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor \n" ); document.write( " |