a group of college students is volunteering for help the homeless during their spring break. they are putting the finishing touches on a house they built. working alone, wade can paint a certain room in 7 hours. rhondda can paint the same room in 5 hours how long will it take them working together to paint the room? round your answer to the nearest hundredth if necessary

A.2.92hours

B.17.5hours

C.6hours

D.0.08hours

Respuesta :

The answer is A. For this

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Number of hours Wade take to paint a certain room = 7 hours

Number of hours Rhondda take to paint a certain room = 5 hours

Work done by Wade is given by [tex]\dfrac{1}{7}[/tex]

Work done by Rhondda take to paint a certain room = [tex]\dfrac{1}{5}[/tex]

Work done if they working together is given by

[tex]\dfrac{1}{7}+\dfrac{1}{5}\\\\=\dfrac{7+5}{35}\\\\=\dfrac{12}{35}[/tex]

Number of hours if they working  together to paint the room is given by

[tex]\dfrac{35}{12}=2.916\approx 2.92\ hours[/tex]

Hence, option 'A' is correct.

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