So let's call the faucet that can fill the bucket in 6 minutes faucet 1, and the other one faucet 2.
So here, it's asking about if the faucet was turned on for a minute.
So let's find the amount of the bucket that each faucet can fill in a minute.
Faucet one can fill a bucket in 6 minutes, so therefore if it was only one minute it could fill 1/6 of a bucket.
Faucet two can fill a bucket in 4 minutes, so therefore if it was only one minute it could fill 1/4 of a bucket.
So if both of them are turned on, then we just have to add the two fractions together.
To add 1/4 and 1/6, convert them both two have the same denominator.
The easiest number would be to switch them both to have a denominator of 12.
So to do that, for 1/6, just multiply by 2/2, to get 2/12, and for 1/4, just multiply by 3/3, to get 3/12.
So 2/12 + 3/12 is 5/12.
So 5/12 of the bucket will be filled in a minute if both faucets are turned on at the same time.
