To determine how many machines are needed to make all the plates in 6 hours instead of 30 hours, you can use the concept of machine-hours.
Given:
- 4 machines can make all the plates in 30 hours.
- We want to find out how many machines are needed to make all the plates in 6 hours.
First, calculate the total machine-hours required to make all the plates:
- For 4 machines working for 30 hours: 4 machines * 30 hours = 120 machine-hours.
To find out how many machines are needed to make all the plates in 6 hours, divide the total machine-hours by the new time frame:
- For 6 hours: 120 machine-hours / 6 hours = 20 machines.
Therefore, to make all the plates in 6 hours, you would need 20 machines. This is because by reducing the time to 6 hours, you would need more machines working simultaneously to achieve the same output as when using 4 machines over 30 hours.
