In a bottling company, a machine can fill a 2-liter bottle in 0.5 seconds and move the next bottle into place in 0.1 seconds. How many 2 liter bottles can be filled by the machine in 2 hours?
Total shift-plus-fill time is 0.6 s. Divide 120*60 = 7200 s by 0.6 s for the answer.
There are 60 min in 1 hour.
There are 60 seconds in 1 min.
How many 0.6 seconds are there in that many total seconds?
To find out how many 2-liter bottles can be filled by the machine in 2 hours, we need to calculate the number of bottles filled per second and then multiply it by the total number of seconds in 2 hours.
First, let's determine how many bottles the machine can fill in one second.
The machine can fill one bottle in 0.5 seconds. Therefore, its filling rate is 1/0.5 = 2 bottles per second.
Now, let's calculate the time it takes for the machine to complete one cycle (filling a bottle and moving the next into place).
The machine takes 0.5 seconds to fill a bottle and an additional 0.1 seconds to move the next bottle into place, resulting in a total cycle time of 0.5 + 0.1 = 0.6 seconds.
Next, let's find out the number of cycles the machine can go through in one second.
Since each cycle takes 0.6 seconds, the machine can complete 1/0.6 = 1.67 cycles per second.
Now, to determine the number of bottles filled per second, we can multiply the number of cycles per second by the number of bottles filled per cycle.
1.67 cycles/second * 2 bottles/cycle = 3.34 bottles/second
Finally, let's calculate the total number of bottles filled in 2 hours (which is 2 hours * 60 minutes/hour * 60 seconds/minute = 7200 seconds) by multiplying the number of bottles filled per second by the total number of seconds.
3.34 bottles/second * 7200 seconds = 24048 bottles
Therefore, the machine can fill 24,048 2-liter bottles in 2 hours.