jaypao18
contestada

A group of college students is volunteering for Homes for the Community during their spring break. They are putting the finishing touches on a house they built. Working alone, Wade can paint a certain room in 6 hours. Rhonda can paint the same room in 3 hours. How long will it take them working together to paint the room? Round your answer to the nearest hundredth if necessary.

Respuesta :

YukkiD
well take this equation 1/6 + 1/3= 1/x and then find the common multiple which is 2 so the answer is 2 hours
TaeKwonDoIsDead

Answer:

2 hours


Step-by-step explanation:

This type of problem can simply be solved by adding reciprocals of the 2 times, and then taking the reciprocal of that answer.

Let's do this:

[tex](\frac{1}{6}+\frac{1}{3})^{-1}\\=(\frac{3+6}{18})^{-1}\\=(\frac{9}{18})^{-1}\\=\frac{18}{9}=2[/tex]


So it would take them 2 hours to finish, if both were working together.

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