Question 1146364
Left on together, the cold and hot water faucets of a certain bathtub take 6minutes to fill the tub. If it takes the cold water faucet 14 minutes to fill the tub by itself, how long will it take the hot water faucet to fill the tub in it’s own?
No rounding needed 
<pre>Let amount of time hot water faucet takes, be H
Then the hot and cold water faucets can fill {{{matrix(1,7, 1/H, and, 1/14, ",", of, "tub,", respectively)}}} in 1 minute
We then get: {{{matrix(1,3, 1/H + 1/14, "=", 1/6)}}}
42 + 3H = 7H ------- Multiplying by LCD, 42H
42 = 4H
H, or amount of time hot water faucet takes, by itself, to fill tub = {{{highlight_green(matrix(1,4, 42/4, "=", 10&1/2, minutes))}}}