document.write( "Question 37541: One garden hose can fill an above-ground pool in 10 hours. A second hose can fill the pool twice as fast as the first one. If both hoses are used together to fill the pool, how many hours will it take? \n" ); document.write( "
Algebra.Com's Answer #23155 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! One garden hose can fill an above-ground pool in 10 hours. A second hose can fill the pool twice as fast as the first one. If both hoses are used together to fill the pool, how many hours will it take?\r \n" ); document.write( "\n" ); document.write( "1st hose Data: \n" ); document.write( "time to fill pool=10 hrs; rate=1/10 job/hr \n" ); document.write( "2nd hose Data: \n" ); document.write( "time to fill pool= 5 hrs; rate=1/5 job/hr \n" ); document.write( "Together Data: \n" ); document.write( "Time to fill pool= x hrs; rate= 1/x job/hr. \n" ); document.write( "EQUATION: \n" ); document.write( "rate + rate = rate \n" ); document.write( "1/10 + 1/5 = 1/x \n" ); document.write( "x+2x=10 \n" ); document.write( "3x=10 \n" ); document.write( "x=3 hrs. 20 min. (Time to fill pool if both hoses are used. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |