Question

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

Answer 1

The answer is A. For this

Answer 2

Answer: Option 'A' is correct.

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
`(1)/(7)`

Work done by Rhondda take to paint a certain room =
`(1)/(5)`

Work done if they working together is given by

`(1)/(7)+(1)/(5)\\\\=(7+5)/(35)\\\\=(12)/(35)`

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

`(35)/(12)=2.916\approx 2.92\ hours`

Hence, option 'A' is correct.