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Answer:
Given:
Cold water faucet fills the sink in 4 minutes.
Both faucets fills the sink in 3 minutes.
Let us assume that "t" be the time it takes hot water faucet in order to fill the sink.
Therefore;
<em>Rate for hot water faucet fills the sink = =
</em>
<em>Rate at which cold water faucet fills the sink = =
</em>
When both faucets are used , the rate at which they fill the sink is given as :
<em> +
=
</em>
On solving the above equation, we get :
<em></em>
<em>∴ </em>
<em>Therefore, it takes 12 minutes for the hot water faucet to fill the sink.</em>
<em></em>