Logan can paint a room in 9 hours Jake can paint the same ro

Logan can paint a room in 9 hours. Jake can paint the same room in 15 hours. How long does it take for Logan and Jake to paint the room if they are working together?

Solution

Logan can paint in 9hrs

In 9 hrs ----- 1room

So, 1 hr ---- 1/9 the of room

Jake can paint in 15 hrs

In 15 hrs ---- 1 rooom

So, 1 hr ---- 1/15 room

Together they can paint in 1 hr (1/9 +1/15) = 14/135

So, they can paint the entire room together in 135/14 hrs