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?
Let 1green/T be your rate, so 2green/T is her rate
1green=(1green/T+2green/T)*4hrs
1=12/T
T=12 hrs
bummer of a long job.
To find out how long it will take you to mow the greens alone, we can follow these steps:
Step 1: Let's assume that it takes you 'x' hours to mow the greens by yourself.
Step 2: According to the information given, Kim can mow the greens twice as fast as you. This means that it takes Kim half the time it takes you to mow the greens. So, it takes Kim 'x/2' hours to mow the greens alone.
Step 3: When you work together, you are able to mow the greens in four hours. This means that the combined work rate of you and Kim is 1/4 of the greens per hour.
Step 4: To find the rates at which you and Kim can individually mow the greens, we add up the individual rates. So, your rate is 1/x and Kim's rate is 1/(x/2) or 2/x.
Step 5: Since the combined work rate is 1/4, we can sum up the individual work rates and set it equal to 1/4:
1/x + 2/x = 1/4
Step 6: To solve for 'x', the time it takes you to mow the greens alone, we need to find a common denominator:
(1+2)/x = 1/4
3/x = 1/4
Step 7: Cross-multiplying:
4 * 3 = x * 1
12 = x
Therefore, it will take you 12 hours to mow the greens alone.