Stacy is painting her bedroom. She is able to paint 3/4 of the bedroom in 3 hours. At this rate, how long will it take her to paint the entire room?

If Stacy can paint 3/4 of the bedroom in 3 hours, then she can paint 1/4 of the bedroom in 3/4 * 3 = <<3/4*3=2.25>>2.25 hours.

To paint the entire room, it will take her 2.25 * 4 = <<2.25*4=9>>9 hours. Answer: \boxed{9}.

Miguel is returning from a trip. In 4 hours, he has driven 2/3 of the total distance. He wants to know how long the total drive will take. At this rate, what is the total time it will take him to reach his destination?

If Miguel has driven 2/3 of the total distance in 4 hours, then he has 1/3 of the total distance left to drive.

To drive the remaining 1/3 of the total distance, it will take him 4 * (1/3) = 4/3 hours.
Therefore, the total time it will take him to reach his destination is 4 + 4/3 = 12/3 + 4/3 = 16/3 = <<4+4/3=16/3>>5 1/3 hours. Answer: \boxed{5 \frac{1}{3}}.

To find out how long it will take Stacy to paint the entire room, we can set up a proportion using the information provided.

Let's say the time it takes Stacy to paint the entire room is represented by "x" hours.

The proportion can be set up as follows:

(3/4) / 3 = 1 / x

To solve for "x", we can cross multiply as follows:

(3/4) * x = 3 * 1

Multiplying both sides of the equation:

3x / 4 = 3

To isolate "x", we can multiply both sides by 4:

3x = 12

Next, divide both sides by 3 to solve for "x":

x = 12 / 3

x = 4

Therefore, it will take Stacy 4 hours to paint the entire room.

To find out how long it will take Stacy to paint the entire room, we need to first determine how much time it takes her to paint one-fourth (1/4) of the room.

Since she can paint three-fourths (3/4) of the room in 3 hours, we can divide 3 hours by 3/4, which is the same as multiplying 3 hours by the reciprocal of 3/4.

To find the reciprocal of 3/4, we flip the fraction, which gives us 4/3.

So, to find how long it takes Stacy to paint one-fourth (1/4) of the room, we multiply 3 hours by 4/3:

3 hours * 4/3 = 12/3 = 4 hours

Therefore, it will take Stacy 4 hours to paint one-fourth (1/4) of the bedroom.

Since the entire room consists of four equal parts (four-fourths), Stacy will need to paint one-fourth (4 hours) four times to complete the entire room.

So, to find how long it will take Stacy to paint the entire room, we multiply the time it takes to paint one-fourth (4 hours) by four:

4 hours * 4 = 16 hours

Therefore, it will take Stacy 16 hours to paint the entire room at the same rate.