Twenty five machines working at a rate of 9 hours per day can complete a job in 16 days. A contractor intends to complete the job in 10 days using similar machines working at a rate of 12 hours per day. Find the number of machines the contractor requires to complete the job.
assuming each day has 8 hours
rate=1job/(25*9*16)== 0.000277777778 jobs/hr
or 0.000277777778=1/(10*12*NumberMachines)
or number machines=1/(10*12* 0.000277777778)=30 machines
What type of speech is President Franklin Roosevelt's first inaugural address?
A. Informative
B. Debate
C. Entertaining
D. Persuasive
D. Persuasive
To find the number of machines the contractor requires to complete the job in 10 days, we can use the concept of the work rate.
Let's first calculate the total work that needs to be done to complete the job. We can do this by finding the work done by the machines in 16 days at a rate of 9 hours per day.
Total work = 25 machines * 9 hours/day * 16 days = 3600 machine-hours
Now, we know that the contractor wants to complete the same job in 10 days with machines that work 12 hours per day. We need to find the number of machines required to do this.
Let's assume the number of machines required is M.
Work done by M machines in 10 days at a rate of 12 hours per day = M machines * 12 hours/day * 10 days = 120M machine-hours
We want the work done by M machines to be equal to the total work required, which is 3600 machine-hours.
Therefore, we can set up the following equation:
120M = 3600
Now, divide both sides of the equation by 120 to solve for M:
M = 3600 / 120 = 30
So, the contractor requires 30 machines to complete the job in 10 days.