Tom and Katie own a home painting business.They are putting a finishing touches on a home they just painted.Working alone,Tom can paintone room in 6 hours.Katie can paint the same room in 10 hours.How long will it take them to paint the room if they work together?

Solution:

Time working together: X

So the equation is

1/x = 1/10 + 1/6

X = 60/16 = 3.75 hours

So

it takes 3.75 hours to paint the room if they work together