Joan can mow a 10-acre field in 5 hours. How long would it take her to mow a 3.8-acre field?
Set up a proportion and cross multiply to find the value of x.
10 / 5 = 3.8 / x
I still do not understan this problem can someone please help me out.
To solve this problem, we can use the concept of proportionality. The time it takes to mow a field is inversely proportional to the area of the field.
Let's set up a proportion to find the answer.
The proportion can be expressed as:
time for 10-acre field / area of 10-acre field = time for 3.8-acre field / area of 3.8-acre field
We know that Joan can mow a 10-acre field in 5 hours, so the information we have is:
time for 10-acre field = 5 hours
area of 10-acre field = 10 acres
Now, let's plug these values into the proportion:
5 hours / 10 acres = time for 3.8-acre field / 3.8 acres
Simplifying the left side of the equation, we have:
0.5 hours/acre = time for 3.8-acre field / 3.8 acres
To find the time for the 3.8-acre field, we can multiply both sides of the equation by 3.8 acres:
(0.5 hours/acre) * 3.8 acres = time for 3.8-acre field
Multiplying the units, we have:
1.9 hours = time for 3.8-acre field
Therefore, it would take Joan approximately 1.9 hours to mow a 3.8-acre field.
10 / 5 = 3.8 / x
10x = 19
x = 19/10
x = 1.9 hours = 1 hour, 54 minutes