captainmarvel01
contestada

David can paint the living room in 4 hours and Anna can paint it in 6 hours. How long will it take the two of them to paint the living room if they work together?

Respuesta :

rabinshrestha41

Answer:

12/5 = 2.4

Step-by-step explanation:

In 4 hours, David can paint 1 room

In (4/4)=1 hour, David can paint 1/4 of the room

Similarly,

In 6 hours, Anna can paint 1 room

In 1 hour, Anna can paint 1/6 of the room

Therefore,

In one hour, they can paint (1/4 + 1/6) of the room if they work together

                                             = 5/12

So,

They can paint 1 room in 12/5 hours

                                         = 2.4 hours

fichoh

Using the rate and time relation, the time taken if that bith work together will be 2.4 hours

David :

  • Time taken = 4 hours
  • Rate = 1/4

Anna :

  • Time taken = 6 hours
  • Rate = 1/6

Combined rate :

  • David's rate + Anna's rate
  • (1/6 + 1/4) = 5/12

The combined time taken is the reciprocal value of the combined rate :

1 ÷ 5/12 = 12 /5

12/5 = 2.4 hours

Therefore, it will take 2.4 hours if they both work together.

Learn more : https://brainly.com/question/18796573

Otras preguntas

Q&A Education