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?(1 point)
Responses
6 hours
6 hours
4 hours
4 hours
12 hours
12 hours
94 hours
The correct answer is 4 hours.
If Stacy is able to paint 3/4 of the bedroom in 3 hours, we can set up a proportion to find out how long it will take her to paint the entire room.
3/4 bedroom = 3 hours
1 bedroom = x hours (unknown time)
Cross multiplying, we have:
(3/4) * x = 3 * 1
Multiplying both sides by 4/3, we get:
x = 12/3
Simplifying, we find that x = 4.
Therefore, it will take Stacy 4 hours to paint the entire room.
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?(1 point)
Responses
8 hours
8 hours
6 hours
6 hours
12 hours
12 hours
83 hours
The correct answer is 6 hours.
If Miguel has driven 2/3 of the total distance in 4 hours, we can set up a proportion to find out how long the total drive will take.
2/3 distance = 4 hours
1 distance = x hours (unknown time)
Cross multiplying, we have:
(2/3) * x = 4 * 1
Multiplying both sides by 3/2, we get:
x = (4 * 3) / 2
Simplifying, we find that x = 12 / 2 = 6.
Therefore, it will take Miguel 6 hours to reach his destination.
To find the answer, we can calculate how much time Stacy takes to paint just 1/4 of the bedroom since she is able to paint 3/4 in 3 hours.
Since 3/4 is completed in 3 hours, we can divide 3 hours by 3/4 to get the time it takes to complete just 1/4 of the bedroom.
To divide fractions, we multiply the numerator of the first fraction by the reciprocal of the second fraction. In this case, we multiply 3 by 4/3.
3 hours * 4/3 = 12/3 = 4 hours
Therefore, it will take Stacy 4 hours to paint just 1/4 of the bedroom. Since there is only 1/4 left to paint after the first 3 hours, it will take Stacy an additional 4 hours to complete the entire room.
So, the correct answer is 4 hours.