Erlinda is having a party and wants to fill her hot tub. If she only uses the red hose, it takes 3 hours more than if she only uses the green hose. If she uses both hoses together, the hot tub fills in 2 hours. How long does it take for each hose to fill the hot tub?

Green hose takes 3 hours to fill her hot tub and Red hose takes 6 hours to fill her hot tub.

Step-by-step explanation:

The given is,

            Red hose takes 3 hours more than if she only use green hose

            She uses both hoses together, the hot tube fills in 2 hours

Step:1

           Let, x - Hours taken by green hose to fill her tub

           From given,

                                   Time taken by red hose = (x + 3) Hours

                               Time taken by both hoses = 2 hours

          One hour work,

                          One hour work of green hose =

                             One hour work of Red hose =

       One hour work both hoses uses together =

          One hour work if she use both hoses together

                   = One hour work of green hose + One hour work of red hose

       Solving the above equation,

                                       x = 3

       From the x value,

                 Hours taken by green hose to fill her tub, x = 3 hours

                    Time taken by red hose = (x + 3) Hours    

                                                             = 3 + 3 = 6 hours

                     Hours taken by Red hose to fill her tub = 6 hours

Result:

        Green hose takes 3 hours to fill her hot tub and Red hose takes 6 hours to fill her hot tub.

ye

step-by-step explanation:

correct

step-by-step explanation: