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One machine can seal 360 packages per hour, and an older machine can seal 140 packages per hour. How many minutes will the two machines working together take to seal a total of 700 packages?

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To find out how long it will take for two machines working together to seal a total of 700 packages, follow these steps:

1. Determine the rate at which each machine seals packages:
- The new machine can seal 360 packages per hour.
- The older machine can seal 140 packages per hour.

2. Calculate the combined sealing rate of both machines working together:
- The combined rate is the sum of the rates of the new machine and the older machine.
- Combined rate = 360 packages/hour + 140 packages/hour = 500 packages/hour.

3. Determine the total number of packages that need to be sealed:
- Total packages = 700 packages.

4. Calculate the time required for both machines to seal 700 packages:
- Time (in hours) = Total packages / Combined rate = 700 packages / 500 packages/hour = 1.4 hours.

5. Convert the time from hours to minutes:
- Since there are 60 minutes in an hour, we multiply the time in hours by 60 to get the time in minutes.
- Time (in minutes) = 1.4 hours * 60 minutes/hour = 84 minutes.

Thus, the two machines working together will take 84 minutes to seal a total of 700 packages.
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