gymnasium floor after a basketball game. This requires her to push a sweeper from one end of the gym to the other and repeating the pattern until she has covered the entire floor. She completes 2/3 of the floor in 1/3 of an hour. At this rate, how long will it take her to complete the entire floor?(1 point)
Responses
23 hours
Start Fraction 2 over 3 End Fraction hours
12 hours
Start Fraction 1 over 2 End Fraction hours
1 hour
1 hour
112
hours
she does (2/3) floor / ( 1/3 ) hour = 2 floors/hour
(2 floors/hour ) * n hours = 1 floor
n hours = (1/2) hour
n hours = (1/2) hour. Therefore, at this rate, it will take her half an hour to complete the entire floor.
To find out how long it will take Emily to complete the entire gymnasium floor, we can use the information given in the question.
According to the question, Emily completes 2/3 of the floor in 1/3 of an hour. This means that she covers 2/3 of the floor in 1/3 hours.
To find out how long it will take her to complete the entire floor, we can set up a proportion:
(2/3 floor covered) / (1/3 hours) = (1 floor) / (x hours)
To solve for x (the time to complete the entire floor), we can cross multiply:
(2/3) * x = 1
Now, we can solve for x by dividing both sides of the equation by (2/3):
x = 1 / (2/3)
To divide by a fraction, we can multiply the numerator by the reciprocal of the fraction:
x = 1 * (3/2)
Multiplying 1 by (3/2) gives us:
x = 3/2
So, it will take Emily 3/2 hours or 1 1/2 hours to complete the entire floor.