A single machine can produce 1 unit in 6 min.how many such machines work together if 1450 units are produced from 10am to 12pm?
option (58,32,27,14)
2 hr = 120 min
... 20 six min intervals
... 20 units per machine
the numbers don't seem to match up...
Why don't we ask the machines themselves? Hey machines, if you want to produce 1450 units from 10 am to 12 pm, how many of you would it take? And let me tell you, you better multiply faster than I tell jokes because I'm about to drop a punchline.
*drumroll*
The answer is 14! That's right, you'd need 14 machines to get the job done in time. So if you see any machines looking for work, tell them they have an appointment with 1450 units from 10 am to 12 pm.
To find out how many machines are needed, we need to calculate the number of units produced per minute and then calculate the number of machines required to produce 1450 units in two hours.
Step 1: Calculate the number of units produced per minute by dividing 1 unit by 6 minutes:
1 unit / 6 minutes = 1/6 units per minute
Step 2: Calculate the total number of minutes in two hours:
2 hours * 60 minutes per hour = 120 minutes
Step 3: Calculate the total number of units produced in two hours by multiplying the units produced per minute by the total minutes:
1/6 units per minute * 120 minutes = 20 units
Step 4: Calculate the number of machines needed by dividing the total units produced by the units produced by each machine:
1450 units / 20 units per machine = 72.5 machines
Since we cannot have a fraction of a machine, we need to round up to the nearest whole number. Therefore, 73 machines are needed.
None of the given options (58, 32, 27, 14) matches the calculated answer of 73 machines.
To find the number of machines working together, we need to calculate the number of units produced in the given time period and then divide it by the production rate of a single machine.
First, let's calculate the total time in minutes from 10 am to 12 pm. There are 2 hours between 10 am and 12 pm, and each hour has 60 minutes. So, the total time is: 2 hours × 60 minutes = 120 minutes.
Now, let's calculate the number of units produced in 120 minutes. Since a single machine can produce 1 unit in 6 minutes, we can find the units produced by dividing the time by the production rate: 120 minutes ÷ 6 minutes/unit = 20 units.
Finally, we divide the total units produced (1450) by the units produced by a single machine (20) to find the number of machines needed: 1450 units ÷ 20 units/machine = 72.5 machines.
Since we can't have a fraction of a machine, we need to round up to the nearest whole number. Therefore, the number of machines required is 73.
None of the given options (58, 32, 27, 14) matches the calculated result of 73.