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Marta can vacuum the house in 30 min. It takes her daughter 45 min to vacuum the house. How long would it take them if they

worked together?

Marta and her daughter can vacuum the house in

min by working together.

Respuesta :

samuelonum1

Answer:

18mins

Step-by-step explanation:

This problem is on combined work rate

given that

Marta can vacuum the house in 30 min

then her rate= 1/30

Also, her daughter will take 45 min to vacuum the house

her  daughter's rate will be = 1/45

then the combined work rate is

1/30+1/45=1/T

30+45/30*45=1/T

75/1350= 1/T

1/18=1/T

This means that they will both take 18 minutes working together to vacum a house