Takes 3/4 of an hour to cut 3/5 of the lawn. How long will it take to cut the whole lawn?
the whole lawn is 1/(3/5) = 5/3 as much as he can cut in 3/4 of an hour
5/3 * 3/4 = 5/4
or, keeping track of the units,
(1 lawn) * (3/4 hr)/(3/5 lawn) = 3/4 * 5/3 = 5/4 hr
(3/4)/(3/5) = x/1.
3/4*5/3 = x/1,
X = 5/4 h.
To find out how long it will take to cut the whole lawn, we can use proportion to solve the problem.
Let's start by defining our variables:
Let x be the time it takes to cut the whole lawn in hours.
We know that it takes 3/4 of an hour to cut 3/5 of the lawn.
So, we can set up the following proportion:
(3/4) / (3/5) = x / 1
To solve this proportion, we need to cross-multiply:
(3/4) * 1 = (3/5) * x
3/4 = 3x/5
Next, we can simplify the equation by multiplying both sides by the reciprocal of 3/5, which is 5/3:
(3/4) * (5/3) = (3x/5) * (5/3)
15/12 = 15x/15
15/12 = x
Finally, we can simplify the fraction:
1 1/4 = x
So, it will take 1 hour and 15 minutes to cut the whole lawn.