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 5 hours. Rhonda can paint the same room in 6 hours. How long will it take them working together to paint the room? Round your answer to the nearest hundredth if necessary.

Answer 1

Answer: 2.73 hours

Explanation:

Answer 2

Answer: 2.72 hours

Explanation:

Let's call
`t_1` while it takes Wade to paint the room

Let's call
`t_2` while it takes Rhonda to paint the same room.

Then we know that:

`t_1 = 5\ hours\\t_2 = 6\ hours`.

Let's call it t as it takes Rhonda and Wade to paint the same room working together.

Now we use the following formula to calculate t.

`(1)/(t)=(1)/(t_1)+(1)/(t_2)`

`(1)/(t)=(1)/(5)+(1)/(6)`

`(1)/(t)=(11)/(30)`

`t=(30)/(11)`

`t=2.72\ hours`

If they work together they will be able to paint the room in 2.72 hours