document.write( "Question 633202: A small leak will fill an empty boat in 5 hours. The boat's bilge pump will empty a full boat in 3 hours. If the boat were half full and leaking, how long would it take the pump to empty the boat? \n" ); document.write( "
Algebra.Com's Answer #398757 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A small leak will fill an empty boat in 5 hours. The boat's bilge pump will empty a full boat in 3 hours. If the boat were half full and leaking, how long would it take the pump to empty the boat? \n" ); document.write( "--------------------------------------------- \n" ); document.write( "Fill rate = 1/5 job/hr \n" ); document.write( "--- \n" ); document.write( "Empty rate = 1/3 job/hr \n" ); document.write( "--- \n" ); document.write( "Together rate = 1/5 - 1/3 = (3-5)/15 = -2/15 job/hr. \n" ); document.write( "--- \n" ); document.write( "Time to empty a full boat = 15/2 = 7 1/2 hrs \n" ); document.write( "----- \n" ); document.write( "Time to empty (1/2) boat = 15/4 = 3 3/4 hrs = 3 hr 45 minutes \n" ); document.write( "====================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |