Math

Using my faucet, it takes 6 minutes to fill our water tank. Using my neighbor's hose, it takes 9 minutes. How long would it take if i used both the faucet and the hose?

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  1. 3 minutes 36 seconds. but i don't know why

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  2. 1/6 + 1/9 = x
    3/18 + 2/18 = x
    x = 5/18 * 1
    x = 18/5
    x = 3.6 minutes

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  3. use this formula
    t/a+t/a=1
    where t=together and a=alone
    x/6 + x/9 = 1
    (6x+9x)/54 =1
    15x=54
    x=54/15
    x=3 3/5 minutes = 3minutes 36 seconds

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