Deborah hired Nick to remove leaves, aerate the lawn, and plant 3 flower beds. If Nick spends 4.2 hours working on Deborah’s lawn, what is his hourly earnings for the job?
Let x be Deborah’s hourly rate
He spent 4.2*(x/1)=$<<4.2*x=4.2x>>4.2x on leaf removal.
He spent 4.2*(x/2)=$<<4.2*x/2=2.1x>>2.1x on aerating.
He spent 4.2*(x/3)=$<<4.2*x/3=1.4x>>1.4x on planting.
His total earnings are 4.2x+2.1x+1.4x=x*7.7x.
Nick’s hourly earnings for the job are (x*7.7x)/4.2=(7.7/4.2)x=$<<7.7/4.2=1.8333333333333333>>1.83x. Answer: \boxed{1.83}.
To find Nick's hourly earnings for the job, we need to know the total amount he is being paid. Since it is not specified, we cannot calculate his hourly earnings.
To calculate Nick's hourly earnings for the job, we need to know the total amount he earned and the total hours he worked.
First, let's break down the tasks and find the time Nick spent on each one.
Removing leaves: This task does not mention the time it took, so we will assume it took a certain amount of time, let's say x hours.
Aerating the lawn: This task also does not mention the time it took, so we will assume it took a certain amount of time, let's say y hours.
Planting 3 flower beds: This task also does not mention the time it took, so we will assume it took a certain amount of time, let's say z hours.
Now, we know that Nick spent a total of 4.2 hours on the job. So we can set up an equation:
x + y + z = 4.2
Assuming the time spent on each task is equal and substituting the values back into the equation:
x + x + x = 3x = 4.2
Now we can solve for x:
3x = 4.2
Divide both sides of the equation by 3:
x = 4.2 / 3
x = 1.4
So, Nick spent 1.4 hours on each task.
Now, let's assume Nick charges $a per hour for his services.
Therefore, his total earnings from the job would be 1.4 * 3 * a = 4.2a
Since we know Nick spent 4.2 hours on the job, we can set up an equation:
4.2a = Total earnings
To find his hourly earnings, we need to divide the total earnings by the total hours worked:
Hourly earnings = Total earnings / Total hours worked = 4.2a / 4.2
After simplifying, we find that Nick's hourly earnings for the job would be a.
Therefore, Nick's hourly earnings for the job would be $a. Without knowing the specific value of a, we cannot provide an exact answer to the question.