Roel can paint a room in 5 hours and Vergel can do it in 6 hours. What part of the job can they do by working for 2hours?

To solve this problem, we first need to determine how much of the room each person can paint per hour.

1. Roel can paint a room in 5 hours, so he can paint 1/5 of the room in one hour.
2. Vergel can paint a room in 6 hours, so he can paint 1/6 of the room in one hour.

When they work together, we can add up the fractions of the room they can paint per hour.

1/5 + 1/6 = 11/30

This means that together, they can paint 11/30 of the room in one hour.

If they work for 2 hours, we multiply this rate by 2:

2 * 11/30 = 22/30 = 0.73

So, Roel and Vergel can paint approximately 73% of the room by working together for 2 hours.

Sure, let's break it down:

1. Roel can paint a room in 5 hours. This means in one hour, Roel can paint 1/5 of the room.

2. Vergel can paint a room in 6 hours. This means in one hour, Vergel can paint 1/6 of the room.

3. When they work together, their combined rate is the sum of their individual rates. So in one hour, they can paint 1/5 + 1/6 = 11/30 of the room.

4. If they work together for 2 hours, they can paint 2 * (11/30) = 22/30 = 0.73 (rounded to two decimal places) of the room.

So, Roel and Vergel can paint approximately 73% of the room by working together for 2 hours.