Question

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.

Answer 1

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

Answer 2

2 hours

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:

`((1)/(6)+(1)/(3))^(-1)\\=((3+6)/(18))^(-1)\\=((9)/(18))^(-1)\\=(18)/(9)=2`

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