Jerry can frame a room in 2 hour, while Jake takes 4 hours. How long would it take for them to frame a room working together? Set up a rational equation and solve.

time to frame room together = 4/3 hrs

Step-by-step explanation:

Jerry can frame a room in 2 hours while Jake can frame the same room for 4 hours. We need to find the rate at which each of them can frame the room.

Jerry frame a room for 2 hrs

Framing done by Jerry in 1 hr will be 1/2 room frame

Jake frame same room for 4 hrs

Framing done by Jake in 1 hr will be 1/4 room frame

Therefore, the rate working together will be

1/2 + 1/4 = (2 + 1) / 4 = 3/4

Both of them frame 3/4 th of the room in 1 hr

To frame 1 room together they will spend what time

cross multiply

time to frame room together = 1 : 3/4

time to frame room together = 1 * 4/3

time to frame room together = 4/3 hrs