# 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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