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David can finish painting the room in 6 hours, and his elder brother Antony can finish it in 4 hours. If both brothers paint the room together, how many hours will it take them?

Respuesta :

Answer:

Step-by-step explanation:

1/6+1/4=5/12

5/12 of the job is done in 1 hour

so

5/12+5/12= 10/12

so 10/12 of the job is done in 2 hours

and then simplify 5/6 so then add 1/6

so it is done in 2 hours and 24 minutes

Both brothers paint the room together, it will take 2 hours 22 minutes.

Given that,

David can finish painting the room in 6 hours,

And his elder brother Antony can finish it in 4 hours.

We have to determine,

If both brothers paint the room together, how many hours will it take them.

According to the question,

David can finish painting the room in 6 hours,

And his elder brother Antony can finish it in 4 hours.

The combined time is given by the following formula.

Therefore,

For both brothers paint the room together, how many hours will it take them,

Taking reciprocal of both brothers time.

Then,

[tex]\frac{1}{6} + \frac{1}{4} = \frac{1}{t} \\\\\frac{2+3}{12} = \frac{1}{t} \\\\t = \frac{12}{5} \\\\t = 2.4[/tex]

Which is equals to 2 hours 22 minutes.

Hence, Both brothers paint the room together, it will take 2 hours 22 minutes.

For more information about Division click the link given below.

https://brainly.com/question/16663851