# SOLUTION: Two hoses are used to fill a water trough. The first hose can fill it in 20 minutes while the second hose needs only 16 minutes. If the second hose is used for the first 4 minutes

Algebra ->  Algebra  -> Rate-of-work-word-problems -> SOLUTION: Two hoses are used to fill a water trough. The first hose can fill it in 20 minutes while the second hose needs only 16 minutes. If the second hose is used for the first 4 minutes       Log On

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 Question 536726: Two hoses are used to fill a water trough. The first hose can fill it in 20 minutes while the second hose needs only 16 minutes. If the second hose is used for the first 4 minutes and then the first is also used, how long will the first hose be used?Answer by josmiceli(9661)   (Show Source): You can put this solution on YOUR website!What are their rates of filling the trough? Hose 1: ( 1 trough ) / ( 20 min ) Hose 2: ( 1 trough ) / ( 16 min ) How much of the trough does hose 2 get filled in the 1st 4 minutes? That means there is of the trough left to be filled using both hoses Let = time to fill 3/4 of trough with both hoses --------- Add their rates of filling to get the rate with both filling Multiply both sides by Multiply both sides by min sec The 1st hose will be used for 6 min and 40 sec check answer: ( error is from rounding ) OK