Puzzle 77
What letter comes next in this sequence:
Z · X · C · V · B · N · ?
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Hint
The answer is in front of you.
Answer
M.
From the bottom row of a keyboard.
Puzzle 78
I was having trouble sleeping last night and I tossed and turned well into the night.
Our local town hall has a clock which strikes on the hour and also strikes just once on the half hour.
During one of my more awake moments I heard the clock strike once, but I could not tell what time it was.
Half an hour later it struck once again, but I still could not tell what time it was.
Finally, half an hour later it struck once again and I knew what the time was.
What time was it?
workings
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Hint
When does the clock strike just once?
Answer
1.30 in the morning.
The initial single strike was at 12.30.
Puzzle 79
At the local racetrack, Alex was testing the latest car.
During the eight test laps, Alex managed to average the first two laps at 100mph, the next two laps at 102mph, the next two laps at 140mph, and the last two laps at 150mph.
What was the average speed for the entire 8 laps?
Puzzle Copyright © Kevin Stone
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Hint
Remember that Time = Distance ÷ Speed, and try setting the track length to be a random length.
Answer
119mph.
Reasoning
It doesn't matter how long a lap is, so let's set the track length to be a random number, say 5 miles.
Using:
Time = Distance ÷ Speed
The first two laps took:
10 /100 hours
The second two laps took:
10 /102 hours
The next two laps took:
10 /140 hours
The final two laps took:
10 /150 hours
Therefore, the total time for the 8 laps was:
10 /100 + 10 /102 + 10 /140 + 10 /150 hours
= 1 /10 + 5 /51 + 1 /14 + 1 /15 hours
Looking at the denominators:
10 = 2 x 5
51 = 3 x 17
14 = 2 x 7
15 = 3 x 5
The lowest common multiple (LCM) of these numbers is 2 x 3 x 5 x 7 x 17 = 3570.
= 357 /3570 + 350 /3570 + 255 /3570 + 238 /3570 hours
= 1200 /3570 hours
= 120 /357 hours
= 40 /119 hours
The 8 laps were 40 miles, and using Speed = Distance ÷ Time:
average speed = 40 ÷ (40 /119 )
average speed = 40 x (119 /40 )
= 119 mph
Puzzle 80
My 12, 8, and 9 is a sheep.
My 3, 5, and 6 is not high.
My 1, 8, and 9 is a starchy vegetable.
My 7, 8, 4, and 5 is a glow around the head.
My 12, 11, 2, and 3 is used in fishing.
My 7, 2, and 10 can be found at the bottom of a skirt.
My whole is a type of bird, what am I?
Puzzle Copyright © Kevin Stone
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Hint
One of the words is YAM.
Answer
A Yellowhammer.
RAM, LOW, YAM, HALO, REEL, HEM.
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