In each issue of the Automation Notebook we feature a section of brainteasers. These are the brainteaser answers from Issue 24, 2012 of the Automation Notebook. The brainteaser questions are repeated in black. The answers to the brainteaser questions are highlighted in red with explanations. You can view the brainteasers from Issue 24, 2012 without the answers here: http://library.automationdirect.com/brainteasers-issue-24-2012/
1. Widget Not
The WidgetMaker2000 had only been making widgets for an hour before something in the drive train malfunctioned. The machine had to finish the production run at 3/5ths of its normal speed. This caused a two-hour delay for the completion of the production run. The operator explained that if the machine could have finished just 50 more widgets before experiencing trouble, the delay would have been forty minutes shorter. Can you determine how many widgets were produced in this production run?
Answer: 200 widgets. The machine made 50 widgets at 50 wph, and 150 widgets at 30wph. If the problem had occurred 50 widgets later the machine would have made 100 widgets at 50 wph, and 100 widgets at 30wph.
2. Hardheaded Flooring
A hardwood floor manufacturer produces boxes of flooring with exactly 297 linear feet of flooring. They require that each box contain 16 pieces, with each piece being an even number of feet in length. They also promise that eight of those pieces will be of the longest length with the remaining pieces made up of some combination of boards that may be either 1, 2, or 3 feet shorter than the eight longest. Can you determine the lengths of the 16 boards?
Answer: 8 pieces @ 20ft, 1 piece @ 18ft and 7 pieces @ 17ft
3. Play Floor Square
Two square rooms are to be tiled with 1 foot square tiles. The total square footage of both rooms is 2120 sq ft. One of the rooms is 12 feet larger (on each side) than the other. Can you determine the dimensions of the two rooms?
Answer: One room was 38 feet on a side the other 26 feet.
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