Left on together, the cold and hot water faucets of a certain bathtub take 5 minutes to fill the tub. If it takes the cold water faucet 15 minutes to fill the tub by itself, how long will it take the hot water faucet to fill the tub on its own? Do not do any rounding.

Step-by-step explanation:

You need to apply the following formula:

Where is the individual time for object A (In this case, cold water faucet), is the individual time for object B ( (In this case the hot water faucet) and is the time for A and B together.

So, you can identify that:

Therefore, in order to find how long  it will take for the hot water faucet to fill the tub on its own, you need to:

1. Substitute the known values into the formula.

2. Solve for .

Therefore, you get the following result:

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

true

step-by-step explanation: