Find the unit rate.
Bryan is mowing the lawn. If it has taken 1/2 hour to mow 2/3 of the lawn, how long will it take to mow the entire lawn?
1/6 of an hour
1 1/3 of an hour
1/3 of an hour
3/4 of an hour
To find the unit rate, divide the amount of work (mowing the lawn) by the amount of time taken.
The amount of work done is 2/3 of the lawn and the time taken is 1/2 hour.
So the unit rate is (2/3) / (1/2) = (2/3) * (2/1) = 4/3.
Therefore, it will take 4/3 of an hour to mow the entire lawn.
Converting 4/3 of an hour to a mixed number, we have 1 1/3 hours.
So the answer is: It will take 1 1/3 of an hour to mow the entire lawn.
is this correct?
Apologies for the miscalculations in my previous response.
To find the unit rate, divide the amount of work (mowing the lawn) by the amount of time taken.
The amount of work done is 2/3 of the lawn and the time taken is 1/2 hour.
So the unit rate is (2/3) / (1/2) = (2/3) * (2/1) = 4/3.
Therefore, the correct unit rate is 4/3.
To find how long it will take to mow the entire lawn, you need to divide the whole lawn by the unit rate:
1 / (4/3) = 1 * (3/4) = 3/4 hour.
So, it will take 3/4 of an hour to mow the entire lawn.
The correct answer is: It will take 3/4 of an hour to mow the entire lawn.
so 3/4 is the answer or is it 1 1/3
Apologies for the confusion. The correct answer is 3/4 of an hour.
The unit rate is 4/3 (representing the amount of lawn mowed per hour).
To find the time needed to mow the entire lawn, we divide the total lawn (1 whole unit) by the unit rate (4/3):
1 / (4/3) = 1 * (3/4) = 3/4 hour
So the correct answer is: It will take 3/4 of an hour to mow the entire lawn.