Kim can mow the greens at golf course twice as fast as I can.
Working together, we can mow them in four hours.
How long will it take me to mow the greans alone?
To solve this problem, we can use the concept of work rates. Let's assume that you can mow the greens at a rate of 1 unit per hour. Since Kim can mow the greens twice as fast as you, Kim's work rate would be 2 units per hour.
When you work together, your combined work rate would be the sum of your individual work rates. In this case, your combined work rate would be 1 unit per hour + 2 units per hour = 3 units per hour.
Given that working together you can mow the greens in 4 hours, we can set up the equation:
Combined work rate * time = total work.
In this case, the total work would be 1 (since it represents the entire task of mowing the greens). So the equation becomes:
3 units per hour * 4 hours = 1
Now, let's solve for the unknown variable, which is the time it would take for you to mow the greens alone. We can rearrange the equation as follows:
Time = total work / individual work rate.
Plugging in the given values, we get:
Time = 1 / 1 unit per hour = 1 hour.
Therefore, it would take you 1 hour to mow the greens alone.