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 Break Room
Brain Teaser Answers
1.) Pallet Puzzle
The counts for the first, third and fifth pallets can be found by subtracting the “other” two distinct pairs of counts from 100. For example – the third pallet count is 100 – (52 + 30) = 18. Once those three are known the 2nd and 3rd are easy to deduce. From 1-5 respectively: 27, 25,18, 16, & 14.
2.) Chain Gang
The first two machines can complete 1/45 of the job in a minute, the first and third complete 1/60 of the job in a minute, and the second and third only complete 1/90 of the job in one minute. Some algebraic substitutions reveal that the first machine can complete 5/360ths in one minute, the second 3/360ths, and the third 1/360th. Together they complete 9/360ths per minute – which completes the entire job in 40 minutes.
3.) Lone Welders
Very similar math to the above: the machines
A & B complete 1/10 of the job in a minute, A&C complete 1/9 of the job in a minute and B&C complete 1/8 of the job in a minute. So A by itself completes 49/720ths in one minute, or 14.7 minutes for the whole job. Machine B completes 41/720ths in a minute, or 17.6 minutes for the job, and machine C completes 31/720ths per minute – or 23.2 minutes for the entire run of the chain.
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Editor's Note
New Product Focus
- Expaded communications and analog I/O capabilities for the
- Control cabinet cable entry systems
- DURApulse® GS20 Series high performance AC drives
- ProSense® Advanced Process Conrollers
- Enclosure Thermoelectric Coolers
Tech Thread
Improvies, Adapt, Overcome
Business Notes
Cover Story
The Best Automation HMIs Keep Things Simple
What's New
User Solutions
- Water Utility Successfully Standardizes Automation Practices
- Automating the Hendrick's Gin Grand Garnisher
Student Spotlight
CPAPs RE-INVENT ed into Ventilators Using PLCs & HMIs
Break Room
          Break Room | Issue 44
Brain Teasers

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