Business and finance. In a bottling company, a machine can fill a 2-liter (L)
bottle in 0.5 second (s) and move the next bottle into place in 0.1 s. How many
2-L bottles can be filled by the machine in 2 h?
First find the number of seconds in 2 hours:
60 * 60 * 2 = 7200 seconds
Then divide:
7200 / 0.6 = ?
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 in each second and then convert it to the number of bottles filled in 2 hours.
First, let's calculate the time it takes to fill one bottle and move the next bottle into place:
Time to fill one bottle = Time to fill + Time to move = 0.5 s + 0.1 s = 0.6 s
Now, let's calculate how many bottles can be filled in one second by taking the reciprocal of the time it takes to fill one bottle:
Bottles filled in one second = 1 / Time to fill one bottle = 1 / 0.6 s = 1.67 bottles/s
Next, let's calculate how many bottles can be filled in one hour by multiplying the number of bottles filled in one second by the number of seconds in an hour:
Bottles filled in one hour = Bottles filled in one second * 60 seconds/minute * 60 minutes/hour = 1.67 bottles/s * 60 s/min * 60 min/hour = 6,012 bottles/hour
Finally, let's calculate how many bottles can be filled in 2 hours by multiplying the number of bottles filled in one hour by 2:
Bottles filled in 2 hours = Bottles filled in one hour * 2 = 6,012 bottles/hour * 2 = 12,024 bottles
Therefore, the machine can fill 12,024 bottles in 2 hours.