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?
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?
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?
Punny Stuff From The Internet
King Ozymandias of Assyria was running low on cash after years of war with the Hittites. His last great possession was the Star of the Euphrates, the most valuable diamond in the ancient world. Desperate, he went to Croesus, the pawnbroker, to ask for a loan.
Croesus said, “I’ll give you 100,000 dinars for it.”
“But I paid a million dinars for it,” the King protested. “Don’t you know who I am? I am the king!”
Croesus replied, “When you wish to pawn a star, makes no difference who you are.”
A famous Viking explorer returned home from a voyage and found his name missing from the town register. His wife insisted on complaining to the local civic official, who apologized profusely saying, “I must have taken Leif off my census.”
An Indian chief was feeling very sick, so he summoned the medicine man. After a brief examination, the medicine man took out a long, thin strip of elk rawhide and gave it to the chief, telling him to bite off, chew, and swallow one inch of the leather every day. After a month, the medicine man returned to see how the chief was feeling. The chief shrugged and said, “The thong is ended, but the malady lingers on.”
Evidence has been found that William Tell and his family were avid bowlers. Unfortunately, all the Swiss League records were destroyed in a fire. … So we’ll never know for whom the Tells bowled.