Rog's Rag-bag (with hints)
#1154186
06/16/18 12:22 PM
06/16/18 12:22 PM
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Joined: Nov 2004
Posts: 21,812 Bucks, England
Urban Worrier
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Maths, logic, trivia, puns, general silliness - an assortment of stuff too disparate to go under any other title. In other words, same old rubbish. 1. Lex's chauffeur was very punctual. He always left Lex's residence at the same time, drove at a constant rate, and always got to the station at exactly 5 P.M. in time to meet his employer's train. One day Lex got to the station at 4 P.M. and began to walk home at the rate of four miles an hour. His chauffeur met him on the way and drove him home. They got home twenty minutes earlier than usual. How fast did the chauffeur drive? The tough way is lots of nasty maths. The easy(?) is to work out how early the chauffer met Lex and hence the proportion of the total distance that each had covered. This ratio is also the ratio of their respective speeds.-2. Sherlock Holmes lived at 221B, Baker Street, London. Which other famous person also lived at 221B, Baker Street - although not in London? He has a lot in common with Sherlock Holmes. He is a fictional character, a sort of detective (but don't get hung up on that). Like Holmes, his best friend is a doctor whose initials are also JW, was an addict, and his surname is linked in an auditory fashion to Holmes. Unlike Holmes, he lived in America-3. Which is the odd-one out and why? aluminium, cobalt, gallium, molybdenum, zinc -4. Place the digits 1 to 8 in the eight squares cells so that no two consecutive numbers are in adjacent cells. ("Adjacent" cells are cells connected by lines.)
___ ___
| |_| |
/|___| |___|\
/ | \/ | \
___/ _|_/\ _|_ \___
| |__| |_| |__| |
|___| |___| |___| |___|
\ | \/ | /
\ _|_ /\_|_ /
\| |_| |/
|___| |___|
Brute force not necessary, it can be solved logically. Find the cells which have only one non-adjacent cell. These must be the "end" numbers, because if any other numbers were in those cells it would be impossible to place that number's two neighbours.-5. You're given a 7 minute and a 4 minute hourglass. Measure a 9 minute interval using the minimum number of "moves", and taking only 9 minutes in total. Remember that an hourglass can be turned over before it has fully run out... -6. . "Doctor, Doctor - I can't stop singing 'The Green, Green Grass of Home'" "That sounds like Tom Jones syndrome." "Is it common?" "--'- --- -------" -7. Not quite a Tom Swifty: "Who discovered radium?" asked M----, c--------. -8. 3. What number completes this series and why? 27 11 6 3 5 ?
To waste one second of one's life is a betrayal of one's self. I wonder what's on television...?
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Re: Rog's Rag-bag
[Re: Urban Worrier]
#1154194
06/16/18 01:31 PM
06/16/18 01:31 PM
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Joined: Feb 2001
Posts: 10,699 Minnesota, USA
Sherlock
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Adept Boomer
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8. 27, 11, 6, 3, 5, 4 The number of letters in the number gives you the next number.
The best math you can learn is how to calculate the future cost of current decisions.
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Re: Rog's Rag-bag
[Re: Urban Worrier]
#1154200
06/16/18 03:25 PM
06/16/18 03:25 PM
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Joined: Nov 2004
Posts: 21,812 Bucks, England
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Aha - I thought you guys missed the "and" out...
To waste one second of one's life is a betrayal of one's self. I wonder what's on television...?
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Re: Rog's Rag-bag
[Re: Urban Worrier]
#1154223
06/17/18 02:14 AM
06/17/18 02:14 AM
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Joined: Mar 2004
Posts: 11,843 Isle of Man
Lex
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5. I think the answer must be 5 moves, being 4 moves on the 4 minute timer with one move on the 7 minute timer started at the same time as the first move on the 4 minute timer, the 9 minute interval starting as the 7 minute timer runs out, on the basis that 4 x 4 = 16 and 16 - 7 = 9 I probably need Denis to work out my chauffeur's speed, or perhaps to be my chauffeur!
Last edited by Lex; 06/17/18 02:33 AM.
Life is what happens while you're making other plans.
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Re: Rog's Rag-bag (#5 edited)
[Re: Urban Worrier]
#1154462
06/19/18 04:09 PM
06/19/18 04:09 PM
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Joined: Apr 2003
Posts: 17,630 The Outer Limits
Cue
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5.
Flip both timers. At the end of 4 minutes the 7-minute time has 3 and the 4 minute goes back to 4. (4 minutes) Flip both timers. At the end of 3 minutes the 7-minute timer goes back to 7 and the 4-minute timer is 1. (3 minutes) Flip both timers. At the end of 1 minute the 7-minute timer is 6 (1 minute) Flip the 7-minute timer for the final minute (1 minute)
Did you ever stop to think and then forget to start again?
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Re: Rog's Rag-bag (with hints)
[Re: Urban Worrier]
#1154556
06/20/18 01:20 PM
06/20/18 01:20 PM
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Joined: Nov 2004
Posts: 21,812 Bucks, England
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Nice solve, CCb! (and any reflections and rotations) Cue, you're on the right lines, but I think your logic is a smidgeon off... At time = 4, 4-minute timer is empty and 7-minute timer still has 3 minutes to run. If you flip both timers, they will both have 4-minutes loaded and the 7-minute timer will run out at time = 8 minutes, not 7 (along with the 4-minute timer) The first step of starting both timers at the same time is spot-on, it just starts to go pear-shaped at step 2
To waste one second of one's life is a betrayal of one's self. I wonder what's on television...?
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Re: Rog's Rag-bag (with hints)
[Re: Urban Worrier]
#1154571
06/20/18 03:57 PM
06/20/18 03:57 PM
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Joined: Apr 2003
Posts: 17,630 The Outer Limits
Cue
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Ok. Step 2: Flip the 4 minute timer and allow the 7 minute timer to run out the remaining 3 minutes. When it runs out, flip both timers Step 3: When the 4 minute timer runs out (1 minute), flip the 7 minute timer again to run out the last minute.
Did you ever stop to think and then forget to start again?
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Re: Rog's Rag-bag (with hints)
[Re: Urban Worrier]
#1154590
06/20/18 06:26 PM
06/20/18 06:26 PM
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Joined: Nov 2004
Posts: 21,812 Bucks, England
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Worth two cigars, Cue!
To waste one second of one's life is a betrayal of one's self. I wonder what's on television...?
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