Question 6 Left on together, the cold and hot water faucets of a certain bathtub take 6 minutes to fill the tub. If it takes the cold water faucet 18 minutes to fill the tub by itself, how long will it take the hot water faucet to fill the tub on its own?

hot water faucet to fill the tub is 9 minutes

Explanation:

given data

time = 6 minutes

cold water = 18 minutes

to find out

how long will it take the hot water faucet to fill the tub

solution

we know rate of both water faucets open together so now

let us consider c is the rate for hot faucet water per min

so equation will be

1/18 + 1/C = 1/6

so solve the value of c

1/c = 1/18 - 1/6

1/c = 1/9

so c = 9

hot water faucet to fill the tub is 9 minutes