Holly can clean the room in 8 hours. Nathan can cleanup the same room in only 2 hours. How long will it take then to clean the room together? Round to the tenths place

Answer 1

Let x = time it takes for both to clean the room when working together

1/2 = portion of job done by Nathan in one hour

1/8 = portion of job done by Holly in one hour

1/x = portion of job done by both in one hour

Then, 1/2 + 1/8 = 1/x

Multiply by 8x: 4x + x = 8

5x = 8 So, x = 1.6 hours